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

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


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

Reorder the terms:
7p + -8(4 + 2p) = -1(p + 8)
7p + (4 * -8 + 2p * -8) = -1(p + 8)
7p + (-32 + -16p) = -1(p + 8)

Reorder the terms:
-32 + 7p + -16p = -1(p + 8)

Combine like terms: 7p + -16p = -9p
-32 + -9p = -1(p + 8)

Reorder the terms:
-32 + -9p = -1(8 + p)
-32 + -9p = (8 * -1 + p * -1)
-32 + -9p = (-8 + -1p)

Solving
-32 + -9p = -8 + -1p

Solving for variable 'p'.

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

Add 'p' to each side of the equation.
-32 + -9p + p = -8 + -1p + p

Combine like terms: -9p + p = -8p
-32 + -8p = -8 + -1p + p

Combine like terms: -1p + p = 0
-32 + -8p = -8 + 0
-32 + -8p = -8

Add '32' to each side of the equation.
-32 + 32 + -8p = -8 + 32

Combine like terms: -32 + 32 = 0
0 + -8p = -8 + 32
-8p = -8 + 32

Combine like terms: -8 + 32 = 24
-8p = 24

Divide each side by '-8'.
p = -3

Simplifying
p = -3

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