Question

-3(2=4p)=2(2p-1) what is this answer

Answer 1

Answer:

p = -0.25

Step-by-step explanation:

Simplifying

-3(2 + 4p) = 2(2p + -1)

(2 * -3 + 4p * -3) = 2(2p + -1)

(-6 + -12p) = 2(2p + -1)

Reorder the terms:

-6 + -12p = 2(-1 + 2p)

-6 + -12p = (-1 * 2 + 2p * 2)

-6 + -12p = (-2 + 4p)

Solving

-6 + -12p = -2 + 4p

Solving for variable 'p'.

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

Add '-4p' to each side of the equation.

-6 + -12p + -4p = -2 + 4p + -4p

Combine like terms: -12p + -4p = -16p

-6 + -16p = -2 + 4p + -4p

Combine like terms: 4p + -4p = 0

-6 + -16p = -2 + 0

-6 + -16p = -2

Add '6' to each side of the equation.

-6 + 6 + -16p = -2 + 6

Combine like terms: -6 + 6 = 0

0 + -16p = -2 + 6

-16p = -2 + 6

Combine like terms: -2 + 6 = 4

-16p = 4

Divide each side by '-16'.

p = -0.25

Simplifying

p = -0.25