-16p-6(6-4p)=4(p-4)-8

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Solution for -16p-6(6-4p)=4(p-4)-8 equation:


Simplifying
-16p + -6(6 + -4p) = 4(p + -4) + -8
-16p + (6 * -6 + -4p * -6) = 4(p + -4) + -8
-16p + (-36 + 24p) = 4(p + -4) + -8

Reorder the terms:
-36 + -16p + 24p = 4(p + -4) + -8

Combine like terms: -16p + 24p = 8p
-36 + 8p = 4(p + -4) + -8

Reorder the terms:
-36 + 8p = 4(-4 + p) + -8
-36 + 8p = (-4 * 4 + p * 4) + -8
-36 + 8p = (-16 + 4p) + -8

Reorder the terms:
-36 + 8p = -16 + -8 + 4p

Combine like terms: -16 + -8 = -24
-36 + 8p = -24 + 4p

Solving
-36 + 8p = -24 + 4p

Solving for variable 'p'.

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

Add '-4p' to each side of the equation.
-36 + 8p + -4p = -24 + 4p + -4p

Combine like terms: 8p + -4p = 4p
-36 + 4p = -24 + 4p + -4p

Combine like terms: 4p + -4p = 0
-36 + 4p = -24 + 0
-36 + 4p = -24

Add '36' to each side of the equation.
-36 + 36 + 4p = -24 + 36

Combine like terms: -36 + 36 = 0
0 + 4p = -24 + 36
4p = -24 + 36

Combine like terms: -24 + 36 = 12
4p = 12

Divide each side by '4'.
p = 3

Simplifying
p = 3

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