-7p-2(4-6p)=3(p-2)-8

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Solution for -7p-2(4-6p)=3(p-2)-8 equation:


Simplifying
-7p + -2(4 + -6p) = 3(p + -2) + -8
-7p + (4 * -2 + -6p * -2) = 3(p + -2) + -8
-7p + (-8 + 12p) = 3(p + -2) + -8

Reorder the terms:
-8 + -7p + 12p = 3(p + -2) + -8

Combine like terms: -7p + 12p = 5p
-8 + 5p = 3(p + -2) + -8

Reorder the terms:
-8 + 5p = 3(-2 + p) + -8
-8 + 5p = (-2 * 3 + p * 3) + -8
-8 + 5p = (-6 + 3p) + -8

Reorder the terms:
-8 + 5p = -6 + -8 + 3p

Combine like terms: -6 + -8 = -14
-8 + 5p = -14 + 3p

Solving
-8 + 5p = -14 + 3p

Solving for variable 'p'.

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

Add '-3p' to each side of the equation.
-8 + 5p + -3p = -14 + 3p + -3p

Combine like terms: 5p + -3p = 2p
-8 + 2p = -14 + 3p + -3p

Combine like terms: 3p + -3p = 0
-8 + 2p = -14 + 0
-8 + 2p = -14

Add '8' to each side of the equation.
-8 + 8 + 2p = -14 + 8

Combine like terms: -8 + 8 = 0
0 + 2p = -14 + 8
2p = -14 + 8

Combine like terms: -14 + 8 = -6
2p = -6

Divide each side by '2'.
p = -3

Simplifying
p = -3

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