Question

the value of p in the equation 6p÷7=2p-45 is​

Answer 1

Answer:

6p+2 (4-2p) =3 (p+4)

Simplifying

6p + 2(4 + -2p) = 3(p + 4)

6p + (4 * 2 + -2p * 2) = 3(p + 4)

6p + (8 + -4p) = 3(p + 4)

Reorder the terms:

8 + 6p + -4p = 3(p + 4)

Combine like terms: 6p + -4p = 2p

8 + 2p = 3(p + 4)

Reorder the terms:

8 + 2p = 3(4 + p)

8 + 2p = (4 * 3 + p * 3)

8 + 2p = (12 + 3p)

Solving

8 + 2p = 12 + 3p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-3p' to each side of the equation.

8 + 2p + -3p = 12 + 3p + -3p

Combine like terms: 2p + -3p = -1p

8 + -1p = 12 + 3p + -3p

Combine like terms: 3p + -3p = 0

8 + -1p = 12 + 0

8 + -1p = 12

Add '-8' to each side of the equation.

8 + -8 + -1p = 12 + -8

Combine like terms: 8 + -8 = 0

0 + -1p = 12 + -8

-1p = 12 + -8

Combine like terms: 12 + -8 = 4

-1p = 4

Divide each side by '-1'.

p = -4

Simplifying

p = -4

Answer 2

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6p+2 (4-2p) =3 (p+4)

Simplifying

6p + 2(4 + -2p) = 3(p + 4)

6p + (4 * 2 + -2p * 2) = 3(p + 4)

6p + (8 + -4p) = 3(p + 4)

Reorder the terms:

8 + 6p + -4p = 3(p + 4)

Combine like terms: 6p + -4p = 2p

8 + 2p = 3(p + 4)

Reorder the terms:

8 + 2p = 3(4 + p)

8 + 2p = (4 * 3 + p * 3)

8 + 2p = (12 + 3p)

Solving

8 + 2p = 12 + 3p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-3p' to each side of the equation.

8 + 2p + -3p = 12 + 3p + -3p

Combine like terms: 2p + -3p = -1p

8 + -1p = 12 + 3p + -3p

Combine like terms: 3p + -3p = 0

8 + -1p = 12 + 0

8 + -1p = 12

Add '-8' to each side of the equation.

8 + -8 + -1p = 12 + -8

Combine like terms: 8 + -8 = 0

0 + -1p = 12 + -8

-1p = 12 + -8

Combine like terms: 12 + -8 = 4

-1p = 4

Divide each side by '-1'.

p = -4

Simplifying

p = -4

Thanks..