-6p-4(3-4p)=6(p-5)-30

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Solution for -6p-4(3-4p)=6(p-5)-30 equation:


Simplifying
-6p + -4(3 + -4p) = 6(p + -5) + -30
-6p + (3 * -4 + -4p * -4) = 6(p + -5) + -30
-6p + (-12 + 16p) = 6(p + -5) + -30

Reorder the terms:
-12 + -6p + 16p = 6(p + -5) + -30

Combine like terms: -6p + 16p = 10p
-12 + 10p = 6(p + -5) + -30

Reorder the terms:
-12 + 10p = 6(-5 + p) + -30
-12 + 10p = (-5 * 6 + p * 6) + -30
-12 + 10p = (-30 + 6p) + -30

Reorder the terms:
-12 + 10p = -30 + -30 + 6p

Combine like terms: -30 + -30 = -60
-12 + 10p = -60 + 6p

Solving
-12 + 10p = -60 + 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 + 10p + -6p = -60 + 6p + -6p

Combine like terms: 10p + -6p = 4p
-12 + 4p = -60 + 6p + -6p

Combine like terms: 6p + -6p = 0
-12 + 4p = -60 + 0
-12 + 4p = -60

Add '12' to each side of the equation.
-12 + 12 + 4p = -60 + 12

Combine like terms: -12 + 12 = 0
0 + 4p = -60 + 12
4p = -60 + 12

Combine like terms: -60 + 12 = -48
4p = -48

Divide each side by '4'.
p = -12

Simplifying
p = -12

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