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

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Solution for -4(3-2p)-2=2(p+7)-4 equation:


Simplifying
-4(3 + -2p) + -2 = 2(p + 7) + -4
(3 * -4 + -2p * -4) + -2 = 2(p + 7) + -4
(-12 + 8p) + -2 = 2(p + 7) + -4

Reorder the terms:
-12 + -2 + 8p = 2(p + 7) + -4

Combine like terms: -12 + -2 = -14
-14 + 8p = 2(p + 7) + -4

Reorder the terms:
-14 + 8p = 2(7 + p) + -4
-14 + 8p = (7 * 2 + p * 2) + -4
-14 + 8p = (14 + 2p) + -4

Reorder the terms:
-14 + 8p = 14 + -4 + 2p

Combine like terms: 14 + -4 = 10
-14 + 8p = 10 + 2p

Solving
-14 + 8p = 10 + 2p

Solving for variable 'p'.

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

Add '-2p' to each side of the equation.
-14 + 8p + -2p = 10 + 2p + -2p

Combine like terms: 8p + -2p = 6p
-14 + 6p = 10 + 2p + -2p

Combine like terms: 2p + -2p = 0
-14 + 6p = 10 + 0
-14 + 6p = 10

Add '14' to each side of the equation.
-14 + 14 + 6p = 10 + 14

Combine like terms: -14 + 14 = 0
0 + 6p = 10 + 14
6p = 10 + 14

Combine like terms: 10 + 14 = 24
6p = 24

Divide each side by '6'.
p = 4

Simplifying
p = 4

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