-3p-4(3-3p)=6(p-5)-24

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Solution for -3p-4(3-3p)=6(p-5)-24 equation:


Simplifying
-3p + -4(3 + -3p) = 6(p + -5) + -24
-3p + (3 * -4 + -3p * -4) = 6(p + -5) + -24
-3p + (-12 + 12p) = 6(p + -5) + -24

Reorder the terms:
-12 + -3p + 12p = 6(p + -5) + -24

Combine like terms: -3p + 12p = 9p
-12 + 9p = 6(p + -5) + -24

Reorder the terms:
-12 + 9p = 6(-5 + p) + -24
-12 + 9p = (-5 * 6 + p * 6) + -24
-12 + 9p = (-30 + 6p) + -24

Reorder the terms:
-12 + 9p = -30 + -24 + 6p

Combine like terms: -30 + -24 = -54
-12 + 9p = -54 + 6p

Solving
-12 + 9p = -54 + 6p

Solving for variable 'p'.

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

Add '-6p' to each side of the equation.
-12 + 9p + -6p = -54 + 6p + -6p

Combine like terms: 9p + -6p = 3p
-12 + 3p = -54 + 6p + -6p

Combine like terms: 6p + -6p = 0
-12 + 3p = -54 + 0
-12 + 3p = -54

Add '12' to each side of the equation.
-12 + 12 + 3p = -54 + 12

Combine like terms: -12 + 12 = 0
0 + 3p = -54 + 12
3p = -54 + 12

Combine like terms: -54 + 12 = -42
3p = -42

Divide each side by '3'.
p = -14

Simplifying
p = -14

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