-9+5(p+20)=8-4(8p+17)

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Solution for -9+5(p+20)=8-4(8p+17) equation:


Simplifying
-9 + 5(p + 20) = 8 + -4(8p + 17)

Reorder the terms:
-9 + 5(20 + p) = 8 + -4(8p + 17)
-9 + (20 * 5 + p * 5) = 8 + -4(8p + 17)
-9 + (100 + 5p) = 8 + -4(8p + 17)

Combine like terms: -9 + 100 = 91
91 + 5p = 8 + -4(8p + 17)

Reorder the terms:
91 + 5p = 8 + -4(17 + 8p)
91 + 5p = 8 + (17 * -4 + 8p * -4)
91 + 5p = 8 + (-68 + -32p)

Combine like terms: 8 + -68 = -60
91 + 5p = -60 + -32p

Solving
91 + 5p = -60 + -32p

Solving for variable 'p'.

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

Add '32p' to each side of the equation.
91 + 5p + 32p = -60 + -32p + 32p

Combine like terms: 5p + 32p = 37p
91 + 37p = -60 + -32p + 32p

Combine like terms: -32p + 32p = 0
91 + 37p = -60 + 0
91 + 37p = -60

Add '-91' to each side of the equation.
91 + -91 + 37p = -60 + -91

Combine like terms: 91 + -91 = 0
0 + 37p = -60 + -91
37p = -60 + -91

Combine like terms: -60 + -91 = -151
37p = -151

Divide each side by '37'.
p = -4.081081081

Simplifying
p = -4.081081081

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