-4(p+2)+8=2(p-1)-7p+16

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Solution for -4(p+2)+8=2(p-1)-7p+16 equation: 


Simplifying
-4(p + 2) + 8 = 2(p + -1) + -7p + 16

Reorder the terms:
-4(2 + p) + 8 = 2(p + -1) + -7p + 16
(2 * -4 + p * -4) + 8 = 2(p + -1) + -7p + 16
(-8 + -4p) + 8 = 2(p + -1) + -7p + 16

Reorder the terms:
-8 + 8 + -4p = 2(p + -1) + -7p + 16

Combine like terms: -8 + 8 = 0
0 + -4p = 2(p + -1) + -7p + 16
-4p = 2(p + -1) + -7p + 16

Reorder the terms:
-4p = 2(-1 + p) + -7p + 16
-4p = (-1 * 2 + p * 2) + -7p + 16
-4p = (-2 + 2p) + -7p + 16

Reorder the terms:
-4p = -2 + 16 + 2p + -7p

Combine like terms: -2 + 16 = 14
-4p = 14 + 2p + -7p

Combine like terms: 2p + -7p = -5p
-4p = 14 + -5p

Solving
-4p = 14 + -5p

Solving for variable 'p'.

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

Add '5p' to each side of the equation.
-4p + 5p = 14 + -5p + 5p

Combine like terms: -4p + 5p = 1p
1p = 14 + -5p + 5p

Combine like terms: -5p + 5p = 0
1p = 14 + 0
1p = 14

Divide each side by '1'.
p = 14

Simplifying
p = 14

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