-3(p-8)=-(p-7)-5

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Solution for -3(p-8)=-(p-7)-5 equation:


Simplifying
-3(p + -8) = -1(p + -7) + -5

Reorder the terms:
-3(-8 + p) = -1(p + -7) + -5
(-8 * -3 + p * -3) = -1(p + -7) + -5
(24 + -3p) = -1(p + -7) + -5

Reorder the terms:
24 + -3p = -1(-7 + p) + -5
24 + -3p = (-7 * -1 + p * -1) + -5
24 + -3p = (7 + -1p) + -5

Reorder the terms:
24 + -3p = 7 + -5 + -1p

Combine like terms: 7 + -5 = 2
24 + -3p = 2 + -1p

Solving
24 + -3p = 2 + -1p

Solving for variable 'p'.

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

Add 'p' to each side of the equation.
24 + -3p + p = 2 + -1p + p

Combine like terms: -3p + p = -2p
24 + -2p = 2 + -1p + p

Combine like terms: -1p + p = 0
24 + -2p = 2 + 0
24 + -2p = 2

Add '-24' to each side of the equation.
24 + -24 + -2p = 2 + -24

Combine like terms: 24 + -24 = 0
0 + -2p = 2 + -24
-2p = 2 + -24

Combine like terms: 2 + -24 = -22
-2p = -22

Divide each side by '-2'.
p = 11

Simplifying
p = 11

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