7-4(p-2)+3(p+5)=113

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Solution for 7-4(p-2)+3(p+5)=113 equation: 


Simplifying
7 + -4(p + -2) + 3(p + 5) = 113

Reorder the terms:
7 + -4(-2 + p) + 3(p + 5) = 113
7 + (-2 * -4 + p * -4) + 3(p + 5) = 113
7 + (8 + -4p) + 3(p + 5) = 113

Reorder the terms:
7 + 8 + -4p + 3(5 + p) = 113
7 + 8 + -4p + (5 * 3 + p * 3) = 113
7 + 8 + -4p + (15 + 3p) = 113

Reorder the terms:
7 + 8 + 15 + -4p + 3p = 113

Combine like terms: 7 + 8 = 15
15 + 15 + -4p + 3p = 113

Combine like terms: 15 + 15 = 30
30 + -4p + 3p = 113

Combine like terms: -4p + 3p = -1p
30 + -1p = 113

Solving
30 + -1p = 113

Solving for variable 'p'.

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

Add '-30' to each side of the equation.
30 + -30 + -1p = 113 + -30

Combine like terms: 30 + -30 = 0
0 + -1p = 113 + -30
-1p = 113 + -30

Combine like terms: 113 + -30 = 83
-1p = 83

Divide each side by '-1'.
p = -83

Simplifying
p = -83

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