-7(p-8)+2(p+3)=57

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Solution for -7(p-8)+2(p+3)=57 equation: 


Simplifying
-7(p + -8) + 2(p + 3) = 57

Reorder the terms:
-7(-8 + p) + 2(p + 3) = 57
(-8 * -7 + p * -7) + 2(p + 3) = 57
(56 + -7p) + 2(p + 3) = 57

Reorder the terms:
56 + -7p + 2(3 + p) = 57
56 + -7p + (3 * 2 + p * 2) = 57
56 + -7p + (6 + 2p) = 57

Reorder the terms:
56 + 6 + -7p + 2p = 57

Combine like terms: 56 + 6 = 62
62 + -7p + 2p = 57

Combine like terms: -7p + 2p = -5p
62 + -5p = 57

Solving
62 + -5p = 57

Solving for variable 'p'.

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

Add '-62' to each side of the equation.
62 + -62 + -5p = 57 + -62

Combine like terms: 62 + -62 = 0
0 + -5p = 57 + -62
-5p = 57 + -62

Combine like terms: 57 + -62 = -5
-5p = -5

Divide each side by '-5'.
p = 1

Simplifying
p = 1

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