3(p+4)+-4p+8(p+1)=90

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Solution for 3(p+4)+-4p+8(p+1)=90 equation: 


Simplifying
3(p + 4) + -4p + 8(p + 1) = 90

Reorder the terms:
3(4 + p) + -4p + 8(p + 1) = 90
(4 * 3 + p * 3) + -4p + 8(p + 1) = 90
(12 + 3p) + -4p + 8(p + 1) = 90

Reorder the terms:
12 + 3p + -4p + 8(1 + p) = 90
12 + 3p + -4p + (1 * 8 + p * 8) = 90
12 + 3p + -4p + (8 + 8p) = 90

Reorder the terms:
12 + 8 + 3p + -4p + 8p = 90

Combine like terms: 12 + 8 = 20
20 + 3p + -4p + 8p = 90

Combine like terms: 3p + -4p = -1p
20 + -1p + 8p = 90

Combine like terms: -1p + 8p = 7p
20 + 7p = 90

Solving
20 + 7p = 90

Solving for variable 'p'.

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

Add '-20' to each side of the equation.
20 + -20 + 7p = 90 + -20

Combine like terms: 20 + -20 = 0
0 + 7p = 90 + -20
7p = 90 + -20

Combine like terms: 90 + -20 = 70
7p = 70

Divide each side by '7'.
p = 10

Simplifying
p = 10

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