-20p-5(3-6p)=5(p-2)-20

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Solution for -20p-5(3-6p)=5(p-2)-20 equation:


Simplifying
-20p + -5(3 + -6p) = 5(p + -2) + -20
-20p + (3 * -5 + -6p * -5) = 5(p + -2) + -20
-20p + (-15 + 30p) = 5(p + -2) + -20

Reorder the terms:
-15 + -20p + 30p = 5(p + -2) + -20

Combine like terms: -20p + 30p = 10p
-15 + 10p = 5(p + -2) + -20

Reorder the terms:
-15 + 10p = 5(-2 + p) + -20
-15 + 10p = (-2 * 5 + p * 5) + -20
-15 + 10p = (-10 + 5p) + -20

Reorder the terms:
-15 + 10p = -10 + -20 + 5p

Combine like terms: -10 + -20 = -30
-15 + 10p = -30 + 5p

Solving
-15 + 10p = -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.
-15 + 10p + -5p = -30 + 5p + -5p

Combine like terms: 10p + -5p = 5p
-15 + 5p = -30 + 5p + -5p

Combine like terms: 5p + -5p = 0
-15 + 5p = -30 + 0
-15 + 5p = -30

Add '15' to each side of the equation.
-15 + 15 + 5p = -30 + 15

Combine like terms: -15 + 15 = 0
0 + 5p = -30 + 15
5p = -30 + 15

Combine like terms: -30 + 15 = -15
5p = -15

Divide each side by '5'.
p = -3

Simplifying
p = -3

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