-7(2p+2)-36=2(4p+8)

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Solution for -7(2p+2)-36=2(4p+8) equation:


Simplifying
-7(2p + 2) + -36 = 2(4p + 8)

Reorder the terms:
-7(2 + 2p) + -36 = 2(4p + 8)
(2 * -7 + 2p * -7) + -36 = 2(4p + 8)
(-14 + -14p) + -36 = 2(4p + 8)

Reorder the terms:
-14 + -36 + -14p = 2(4p + 8)

Combine like terms: -14 + -36 = -50
-50 + -14p = 2(4p + 8)

Reorder the terms:
-50 + -14p = 2(8 + 4p)
-50 + -14p = (8 * 2 + 4p * 2)
-50 + -14p = (16 + 8p)

Solving
-50 + -14p = 16 + 8p

Solving for variable 'p'.

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

Add '-8p' to each side of the equation.
-50 + -14p + -8p = 16 + 8p + -8p

Combine like terms: -14p + -8p = -22p
-50 + -22p = 16 + 8p + -8p

Combine like terms: 8p + -8p = 0
-50 + -22p = 16 + 0
-50 + -22p = 16

Add '50' to each side of the equation.
-50 + 50 + -22p = 16 + 50

Combine like terms: -50 + 50 = 0
0 + -22p = 16 + 50
-22p = 16 + 50

Combine like terms: 16 + 50 = 66
-22p = 66

Divide each side by '-22'.
p = -3

Simplifying
p = -3

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