6p-4(30-2p)=5(p-4)-10

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Solution for 6p-4(30-2p)=5(p-4)-10 equation:


Simplifying
6p + -4(30 + -2p) = 5(p + -4) + -10
6p + (30 * -4 + -2p * -4) = 5(p + -4) + -10
6p + (-120 + 8p) = 5(p + -4) + -10

Reorder the terms:
-120 + 6p + 8p = 5(p + -4) + -10

Combine like terms: 6p + 8p = 14p
-120 + 14p = 5(p + -4) + -10

Reorder the terms:
-120 + 14p = 5(-4 + p) + -10
-120 + 14p = (-4 * 5 + p * 5) + -10
-120 + 14p = (-20 + 5p) + -10

Reorder the terms:
-120 + 14p = -20 + -10 + 5p

Combine like terms: -20 + -10 = -30
-120 + 14p = -30 + 5p

Solving
-120 + 14p = -30 + 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.
-120 + 14p + -5p = -30 + 5p + -5p

Combine like terms: 14p + -5p = 9p
-120 + 9p = -30 + 5p + -5p

Combine like terms: 5p + -5p = 0
-120 + 9p = -30 + 0
-120 + 9p = -30

Add '120' to each side of the equation.
-120 + 120 + 9p = -30 + 120

Combine like terms: -120 + 120 = 0
0 + 9p = -30 + 120
9p = -30 + 120

Combine like terms: -30 + 120 = 90
9p = 90

Divide each side by '9'.
p = 10

Simplifying
p = 10

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