8(p-6)=(4p+6)-12

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Solution for 8(p-6)=(4p+6)-12 equation:


Simplifying
8(p + -6) = (4p + 6) + -12

Reorder the terms:
8(-6 + p) = (4p + 6) + -12
(-6 * 8 + p * 8) = (4p + 6) + -12
(-48 + 8p) = (4p + 6) + -12

Reorder the terms:
-48 + 8p = (6 + 4p) + -12

Remove parenthesis around (6 + 4p)
-48 + 8p = 6 + 4p + -12

Reorder the terms:
-48 + 8p = 6 + -12 + 4p

Combine like terms: 6 + -12 = -6
-48 + 8p = -6 + 4p

Solving
-48 + 8p = -6 + 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.
-48 + 8p + -4p = -6 + 4p + -4p

Combine like terms: 8p + -4p = 4p
-48 + 4p = -6 + 4p + -4p

Combine like terms: 4p + -4p = 0
-48 + 4p = -6 + 0
-48 + 4p = -6

Add '48' to each side of the equation.
-48 + 48 + 4p = -6 + 48

Combine like terms: -48 + 48 = 0
0 + 4p = -6 + 48
4p = -6 + 48

Combine like terms: -6 + 48 = 42
4p = 42

Divide each side by '4'.
p = 10.5

Simplifying
p = 10.5

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