8(7-p)-8=-16(p-12)

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Solution for 8(7-p)-8=-16(p-12) equation: 


Simplifying
8(7 + -1p) + -8 = -16(p + -12)
(7 * 8 + -1p * 8) + -8 = -16(p + -12)
(56 + -8p) + -8 = -16(p + -12)

Reorder the terms:
56 + -8 + -8p = -16(p + -12)

Combine like terms: 56 + -8 = 48
48 + -8p = -16(p + -12)

Reorder the terms:
48 + -8p = -16(-12 + p)
48 + -8p = (-12 * -16 + p * -16)
48 + -8p = (192 + -16p)

Solving
48 + -8p = 192 + -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 = 192 + -16p + 16p

Combine like terms: -8p + 16p = 8p
48 + 8p = 192 + -16p + 16p

Combine like terms: -16p + 16p = 0
48 + 8p = 192 + 0
48 + 8p = 192

Add '-48' to each side of the equation.
48 + -48 + 8p = 192 + -48

Combine like terms: 48 + -48 = 0
0 + 8p = 192 + -48
8p = 192 + -48

Combine like terms: 192 + -48 = 144
8p = 144

Divide each side by '8'.
p = 18

Simplifying
p = 18

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