-8(p+2)+p=4(p+3)+5

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Solution for -8(p+2)+p=4(p+3)+5 equation:


Simplifying
-8(p + 2) + p = 4(p + 3) + 5

Reorder the terms:
-8(2 + p) + p = 4(p + 3) + 5
(2 * -8 + p * -8) + p = 4(p + 3) + 5
(-16 + -8p) + p = 4(p + 3) + 5

Combine like terms: -8p + p = -7p
-16 + -7p = 4(p + 3) + 5

Reorder the terms:
-16 + -7p = 4(3 + p) + 5
-16 + -7p = (3 * 4 + p * 4) + 5
-16 + -7p = (12 + 4p) + 5

Reorder the terms:
-16 + -7p = 12 + 5 + 4p

Combine like terms: 12 + 5 = 17
-16 + -7p = 17 + 4p

Solving
-16 + -7p = 17 + 4p

Solving for variable 'p'.

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

Add '-4p' to each side of the equation.
-16 + -7p + -4p = 17 + 4p + -4p

Combine like terms: -7p + -4p = -11p
-16 + -11p = 17 + 4p + -4p

Combine like terms: 4p + -4p = 0
-16 + -11p = 17 + 0
-16 + -11p = 17

Add '16' to each side of the equation.
-16 + 16 + -11p = 17 + 16

Combine like terms: -16 + 16 = 0
0 + -11p = 17 + 16
-11p = 17 + 16

Combine like terms: 17 + 16 = 33
-11p = 33

Divide each side by '-11'.
p = -3

Simplifying
p = -3

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