-2p-2(4-5p)=6(p-3)-10

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Solution for -2p-2(4-5p)=6(p-3)-10 equation:


Simplifying
-2p + -2(4 + -5p) = 6(p + -3) + -10
-2p + (4 * -2 + -5p * -2) = 6(p + -3) + -10
-2p + (-8 + 10p) = 6(p + -3) + -10

Reorder the terms:
-8 + -2p + 10p = 6(p + -3) + -10

Combine like terms: -2p + 10p = 8p
-8 + 8p = 6(p + -3) + -10

Reorder the terms:
-8 + 8p = 6(-3 + p) + -10
-8 + 8p = (-3 * 6 + p * 6) + -10
-8 + 8p = (-18 + 6p) + -10

Reorder the terms:
-8 + 8p = -18 + -10 + 6p

Combine like terms: -18 + -10 = -28
-8 + 8p = -28 + 6p

Solving
-8 + 8p = -28 + 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.
-8 + 8p + -6p = -28 + 6p + -6p

Combine like terms: 8p + -6p = 2p
-8 + 2p = -28 + 6p + -6p

Combine like terms: 6p + -6p = 0
-8 + 2p = -28 + 0
-8 + 2p = -28

Add '8' to each side of the equation.
-8 + 8 + 2p = -28 + 8

Combine like terms: -8 + 8 = 0
0 + 2p = -28 + 8
2p = -28 + 8

Combine like terms: -28 + 8 = -20
2p = -20

Divide each side by '2'.
p = -10

Simplifying
p = -10

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