-3(9-1)=6(p-8)-12

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Solution for -3(9-1)=6(p-8)-12 equation: 


Simplifying
-3(9 + -1) = 6(p + -8) + -12

Combine like terms: 9 + -1 = 8
-3(8) = 6(p + -8) + -12

Multiply -3 * 8
-24 = 6(p + -8) + -12

Reorder the terms:
-24 = 6(-8 + p) + -12
-24 = (-8 * 6 + p * 6) + -12
-24 = (-48 + 6p) + -12

Reorder the terms:
-24 = -48 + -12 + 6p

Combine like terms: -48 + -12 = -60
-24 = -60 + 6p

Solving
-24 = -60 + 6p

Solving for variable 'p'.

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

Add '-6p' to each side of the equation.
-24 + -6p = -60 + 6p + -6p

Combine like terms: 6p + -6p = 0
-24 + -6p = -60 + 0
-24 + -6p = -60

Add '24' to each side of the equation.
-24 + 24 + -6p = -60 + 24

Combine like terms: -24 + 24 = 0
0 + -6p = -60 + 24
-6p = -60 + 24

Combine like terms: -60 + 24 = -36
-6p = -36

Divide each side by '-6'.
p = 6

Simplifying
p = 6

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