-6p-4(3-3p)=3(p-3)-15

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Solution for -6p-4(3-3p)=3(p-3)-15 equation:


Simplifying
-6p + -4(3 + -3p) = 3(p + -3) + -15
-6p + (3 * -4 + -3p * -4) = 3(p + -3) + -15
-6p + (-12 + 12p) = 3(p + -3) + -15

Reorder the terms:
-12 + -6p + 12p = 3(p + -3) + -15

Combine like terms: -6p + 12p = 6p
-12 + 6p = 3(p + -3) + -15

Reorder the terms:
-12 + 6p = 3(-3 + p) + -15
-12 + 6p = (-3 * 3 + p * 3) + -15
-12 + 6p = (-9 + 3p) + -15

Reorder the terms:
-12 + 6p = -9 + -15 + 3p

Combine like terms: -9 + -15 = -24
-12 + 6p = -24 + 3p

Solving
-12 + 6p = -24 + 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.
-12 + 6p + -3p = -24 + 3p + -3p

Combine like terms: 6p + -3p = 3p
-12 + 3p = -24 + 3p + -3p

Combine like terms: 3p + -3p = 0
-12 + 3p = -24 + 0
-12 + 3p = -24

Add '12' to each side of the equation.
-12 + 12 + 3p = -24 + 12

Combine like terms: -12 + 12 = 0
0 + 3p = -24 + 12
3p = -24 + 12

Combine like terms: -24 + 12 = -12
3p = -12

Divide each side by '3'.
p = -4

Simplifying
p = -4

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