-5p-3(6-4p)=3(p-2)-36

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Solution for -5p-3(6-4p)=3(p-2)-36 equation:


Simplifying
-5p + -3(6 + -4p) = 3(p + -2) + -36
-5p + (6 * -3 + -4p * -3) = 3(p + -2) + -36
-5p + (-18 + 12p) = 3(p + -2) + -36

Reorder the terms:
-18 + -5p + 12p = 3(p + -2) + -36

Combine like terms: -5p + 12p = 7p
-18 + 7p = 3(p + -2) + -36

Reorder the terms:
-18 + 7p = 3(-2 + p) + -36
-18 + 7p = (-2 * 3 + p * 3) + -36
-18 + 7p = (-6 + 3p) + -36

Reorder the terms:
-18 + 7p = -6 + -36 + 3p

Combine like terms: -6 + -36 = -42
-18 + 7p = -42 + 3p

Solving
-18 + 7p = -42 + 3p

Solving for variable 'p'.

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

Add '-3p' to each side of the equation.
-18 + 7p + -3p = -42 + 3p + -3p

Combine like terms: 7p + -3p = 4p
-18 + 4p = -42 + 3p + -3p

Combine like terms: 3p + -3p = 0
-18 + 4p = -42 + 0
-18 + 4p = -42

Add '18' to each side of the equation.
-18 + 18 + 4p = -42 + 18

Combine like terms: -18 + 18 = 0
0 + 4p = -42 + 18
4p = -42 + 18

Combine like terms: -42 + 18 = -24
4p = -24

Divide each side by '4'.
p = -6

Simplifying
p = -6

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