Question

Solve for p: 3p - 2(p-4) = 7p + 6

Answer 1

Step-by-step explanation:

Simplifying

3p + -2(p + -4) = 7p + 6

Reorder the terms:

3p + -2(-4 + p) = 7p + 6

3p + (-4 * -2 + p * -2) = 7p + 6

3p + (8 + -2p) = 7p + 6

Reorder the terms:

8 + 3p + -2p = 7p + 6

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

8 + 1p = 7p + 6

Reorder the terms:

8 + 1p = 6 + 7p

Solving

8 + 1p = 6 + 7p

Solving for variable 'p'.

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

Add '-7p' to each side of the equation.

8 + 1p + -7p = 6 + 7p + -7p

Combine like terms: 1p + -7p = -6p

8 + -6p = 6 + 7p + -7p

Combine like terms: 7p + -7p = 0

8 + -6p = 6 + 0

8 + -6p = 6

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

8 + -8 + -6p = 6 + -8

Combine like terms: 8 + -8 = 0

0 + -6p = 6 + -8

-6p = 6 + -8

Combine like terms: 6 + -8 = -2

-6p = -2

Divide each side by '-6'.

p = 0.3333333333

Simplifying

p = 0.3333333333

Answer 2

Answer:

$3p - 2(p - 4) = 7p + 6$

$3p - 2p + 8 = 7p + 6$

$p + 8 = 7p + 6$

$7p - p = 8 - 6$

$6 p= 2$

$p = \frac{2}{6}$

$p = \frac{1}{3}$

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