-4(-p-7)-2(5p-4)=12

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Solution for -4(-p-7)-2(5p-4)=12 equation: 


Simplifying
-4(-1p + -7) + -2(5p + -4) = 12

Reorder the terms:
-4(-7 + -1p) + -2(5p + -4) = 12
(-7 * -4 + -1p * -4) + -2(5p + -4) = 12
(28 + 4p) + -2(5p + -4) = 12

Reorder the terms:
28 + 4p + -2(-4 + 5p) = 12
28 + 4p + (-4 * -2 + 5p * -2) = 12
28 + 4p + (8 + -10p) = 12

Reorder the terms:
28 + 8 + 4p + -10p = 12

Combine like terms: 28 + 8 = 36
36 + 4p + -10p = 12

Combine like terms: 4p + -10p = -6p
36 + -6p = 12

Solving
36 + -6p = 12

Solving for variable 'p'.

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

Add '-36' to each side of the equation.
36 + -36 + -6p = 12 + -36

Combine like terms: 36 + -36 = 0
0 + -6p = 12 + -36
-6p = 12 + -36

Combine like terms: 12 + -36 = -24
-6p = -24

Divide each side by '-6'.
p = 4

Simplifying
p = 4

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