8[7-p]-8=-16[p-2]

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Solution for 8[7-p]-8=-16[p-2] equation: 


Simplifying
8[7 + -1p] + -8 = -16[p + -2]
[7 * 8 + -1p * 8] + -8 = -16[p + -2]
[56 + -8p] + -8 = -16[p + -2]

Reorder the terms:
56 + -8 + -8p = -16[p + -2]

Combine like terms: 56 + -8 = 48
48 + -8p = -16[p + -2]

Reorder the terms:
48 + -8p = -16[-2 + p]
48 + -8p = [-2 * -16 + p * -16]
48 + -8p = [32 + -16p]

Solving
48 + -8p = 32 + -16p

Solving for variable 'p'.

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

Add '16p' to each side of the equation.
48 + -8p + 16p = 32 + -16p + 16p

Combine like terms: -8p + 16p = 8p
48 + 8p = 32 + -16p + 16p

Combine like terms: -16p + 16p = 0
48 + 8p = 32 + 0
48 + 8p = 32

Add '-48' to each side of the equation.
48 + -48 + 8p = 32 + -48

Combine like terms: 48 + -48 = 0
0 + 8p = 32 + -48
8p = 32 + -48

Combine like terms: 32 + -48 = -16
8p = -16

Divide each side by '8'.
p = -2

Simplifying
p = -2

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