-2p-3(6-3p)=5(p-6)-4

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Solution for -2p-3(6-3p)=5(p-6)-4 equation:


Simplifying
-2p + -3(6 + -3p) = 5(p + -6) + -4
-2p + (6 * -3 + -3p * -3) = 5(p + -6) + -4
-2p + (-18 + 9p) = 5(p + -6) + -4

Reorder the terms:
-18 + -2p + 9p = 5(p + -6) + -4

Combine like terms: -2p + 9p = 7p
-18 + 7p = 5(p + -6) + -4

Reorder the terms:
-18 + 7p = 5(-6 + p) + -4
-18 + 7p = (-6 * 5 + p * 5) + -4
-18 + 7p = (-30 + 5p) + -4

Reorder the terms:
-18 + 7p = -30 + -4 + 5p

Combine like terms: -30 + -4 = -34
-18 + 7p = -34 + 5p

Solving
-18 + 7p = -34 + 5p

Solving for variable 'p'.

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

Add '-5p' to each side of the equation.
-18 + 7p + -5p = -34 + 5p + -5p

Combine like terms: 7p + -5p = 2p
-18 + 2p = -34 + 5p + -5p

Combine like terms: 5p + -5p = 0
-18 + 2p = -34 + 0
-18 + 2p = -34

Add '18' to each side of the equation.
-18 + 18 + 2p = -34 + 18

Combine like terms: -18 + 18 = 0
0 + 2p = -34 + 18
2p = -34 + 18

Combine like terms: -34 + 18 = -16
2p = -16

Divide each side by '2'.
p = -8

Simplifying
p = -8

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