-7(4p+4)-36=2(5p+6)

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Solution for -7(4p+4)-36=2(5p+6) equation: 


Simplifying
-7(4p + 4) + -36 = 2(5p + 6)

Reorder the terms:
-7(4 + 4p) + -36 = 2(5p + 6)
(4 * -7 + 4p * -7) + -36 = 2(5p + 6)
(-28 + -28p) + -36 = 2(5p + 6)

Reorder the terms:
-28 + -36 + -28p = 2(5p + 6)

Combine like terms: -28 + -36 = -64
-64 + -28p = 2(5p + 6)

Reorder the terms:
-64 + -28p = 2(6 + 5p)
-64 + -28p = (6 * 2 + 5p * 2)
-64 + -28p = (12 + 10p)

Solving
-64 + -28p = 12 + 10p

Solving for variable 'p'.

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

Add '-10p' to each side of the equation.
-64 + -28p + -10p = 12 + 10p + -10p

Combine like terms: -28p + -10p = -38p
-64 + -38p = 12 + 10p + -10p

Combine like terms: 10p + -10p = 0
-64 + -38p = 12 + 0
-64 + -38p = 12

Add '64' to each side of the equation.
-64 + 64 + -38p = 12 + 64

Combine like terms: -64 + 64 = 0
0 + -38p = 12 + 64
-38p = 12 + 64

Combine like terms: 12 + 64 = 76
-38p = 76

Divide each side by '-38'.
p = -2

Simplifying
p = -2

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