37-6p=-2(8p-6)-5

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Solution for 37-6p=-2(8p-6)-5 equation:


Simplifying
37 + -6p = -2(8p + -6) + -5

Reorder the terms:
37 + -6p = -2(-6 + 8p) + -5
37 + -6p = (-6 * -2 + 8p * -2) + -5
37 + -6p = (12 + -16p) + -5

Reorder the terms:
37 + -6p = 12 + -5 + -16p

Combine like terms: 12 + -5 = 7
37 + -6p = 7 + -16p

Solving
37 + -6p = 7 + -16p

Solving for variable 'p'.

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

Add '16p' to each side of the equation.
37 + -6p + 16p = 7 + -16p + 16p

Combine like terms: -6p + 16p = 10p
37 + 10p = 7 + -16p + 16p

Combine like terms: -16p + 16p = 0
37 + 10p = 7 + 0
37 + 10p = 7

Add '-37' to each side of the equation.
37 + -37 + 10p = 7 + -37

Combine like terms: 37 + -37 = 0
0 + 10p = 7 + -37
10p = 7 + -37

Combine like terms: 7 + -37 = -30
10p = -30

Divide each side by '10'.
p = -3

Simplifying
p = -3

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