6p-2(4-2p)=5(p-6)-23

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Solution for 6p-2(4-2p)=5(p-6)-23 equation:


Simplifying
6p + -2(4 + -2p) = 5(p + -6) + -23
6p + (4 * -2 + -2p * -2) = 5(p + -6) + -23
6p + (-8 + 4p) = 5(p + -6) + -23

Reorder the terms:
-8 + 6p + 4p = 5(p + -6) + -23

Combine like terms: 6p + 4p = 10p
-8 + 10p = 5(p + -6) + -23

Reorder the terms:
-8 + 10p = 5(-6 + p) + -23
-8 + 10p = (-6 * 5 + p * 5) + -23
-8 + 10p = (-30 + 5p) + -23

Reorder the terms:
-8 + 10p = -30 + -23 + 5p

Combine like terms: -30 + -23 = -53
-8 + 10p = -53 + 5p

Solving
-8 + 10p = -53 + 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.
-8 + 10p + -5p = -53 + 5p + -5p

Combine like terms: 10p + -5p = 5p
-8 + 5p = -53 + 5p + -5p

Combine like terms: 5p + -5p = 0
-8 + 5p = -53 + 0
-8 + 5p = -53

Add '8' to each side of the equation.
-8 + 8 + 5p = -53 + 8

Combine like terms: -8 + 8 = 0
0 + 5p = -53 + 8
5p = -53 + 8

Combine like terms: -53 + 8 = -45
5p = -45

Divide each side by '5'.
p = -9

Simplifying
p = -9

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