11(p+8)=-4(7p-11)+5

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Solution for 11(p+8)=-4(7p-11)+5 equation: 


Simplifying
11(p + 8) = -4(7p + -11) + 5

Reorder the terms:
11(8 + p) = -4(7p + -11) + 5
(8 * 11 + p * 11) = -4(7p + -11) + 5
(88 + 11p) = -4(7p + -11) + 5

Reorder the terms:
88 + 11p = -4(-11 + 7p) + 5
88 + 11p = (-11 * -4 + 7p * -4) + 5
88 + 11p = (44 + -28p) + 5

Reorder the terms:
88 + 11p = 44 + 5 + -28p

Combine like terms: 44 + 5 = 49
88 + 11p = 49 + -28p

Solving
88 + 11p = 49 + -28p

Solving for variable 'p'.

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

Add '28p' to each side of the equation.
88 + 11p + 28p = 49 + -28p + 28p

Combine like terms: 11p + 28p = 39p
88 + 39p = 49 + -28p + 28p

Combine like terms: -28p + 28p = 0
88 + 39p = 49 + 0
88 + 39p = 49

Add '-88' to each side of the equation.
88 + -88 + 39p = 49 + -88

Combine like terms: 88 + -88 = 0
0 + 39p = 49 + -88
39p = 49 + -88

Combine like terms: 49 + -88 = -39
39p = -39

Divide each side by '39'.
p = -1

Simplifying
p = -1

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