-9p-3(6-5p)=2(p-3)-32

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Solution for -9p-3(6-5p)=2(p-3)-32 equation:


Simplifying
-9p + -3(6 + -5p) = 2(p + -3) + -32
-9p + (6 * -3 + -5p * -3) = 2(p + -3) + -32
-9p + (-18 + 15p) = 2(p + -3) + -32

Reorder the terms:
-18 + -9p + 15p = 2(p + -3) + -32

Combine like terms: -9p + 15p = 6p
-18 + 6p = 2(p + -3) + -32

Reorder the terms:
-18 + 6p = 2(-3 + p) + -32
-18 + 6p = (-3 * 2 + p * 2) + -32
-18 + 6p = (-6 + 2p) + -32

Reorder the terms:
-18 + 6p = -6 + -32 + 2p

Combine like terms: -6 + -32 = -38
-18 + 6p = -38 + 2p

Solving
-18 + 6p = -38 + 2p

Solving for variable 'p'.

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

Add '-2p' to each side of the equation.
-18 + 6p + -2p = -38 + 2p + -2p

Combine like terms: 6p + -2p = 4p
-18 + 4p = -38 + 2p + -2p

Combine like terms: 2p + -2p = 0
-18 + 4p = -38 + 0
-18 + 4p = -38

Add '18' to each side of the equation.
-18 + 18 + 4p = -38 + 18

Combine like terms: -18 + 18 = 0
0 + 4p = -38 + 18
4p = -38 + 18

Combine like terms: -38 + 18 = -20
4p = -20

Divide each side by '4'.
p = -5

Simplifying
p = -5

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