-15p-4(5-5p)=2(p-6)-8

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Solution for -15p-4(5-5p)=2(p-6)-8 equation:


Simplifying
-15p + -4(5 + -5p) = 2(p + -6) + -8
-15p + (5 * -4 + -5p * -4) = 2(p + -6) + -8
-15p + (-20 + 20p) = 2(p + -6) + -8

Reorder the terms:
-20 + -15p + 20p = 2(p + -6) + -8

Combine like terms: -15p + 20p = 5p
-20 + 5p = 2(p + -6) + -8

Reorder the terms:
-20 + 5p = 2(-6 + p) + -8
-20 + 5p = (-6 * 2 + p * 2) + -8
-20 + 5p = (-12 + 2p) + -8

Reorder the terms:
-20 + 5p = -12 + -8 + 2p

Combine like terms: -12 + -8 = -20
-20 + 5p = -20 + 2p

Add '20' to each side of the equation.
-20 + 20 + 5p = -20 + 20 + 2p

Combine like terms: -20 + 20 = 0
0 + 5p = -20 + 20 + 2p
5p = -20 + 20 + 2p

Combine like terms: -20 + 20 = 0
5p = 0 + 2p
5p = 2p

Solving
5p = 2p

Solving for variable 'p'.

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

Add '-2p' to each side of the equation.
5p + -2p = 2p + -2p

Combine like terms: 5p + -2p = 3p
3p = 2p + -2p

Combine like terms: 2p + -2p = 0
3p = 0

Divide each side by '3'.
p = 0

Simplifying
p = 0

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