-2p-3(4-2p)=2(p-4)-2

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


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

Reorder the terms:
-12 + -2p + 6p = 2(p + -4) + -2

Combine like terms: -2p + 6p = 4p
-12 + 4p = 2(p + -4) + -2

Reorder the terms:
-12 + 4p = 2(-4 + p) + -2
-12 + 4p = (-4 * 2 + p * 2) + -2
-12 + 4p = (-8 + 2p) + -2

Reorder the terms:
-12 + 4p = -8 + -2 + 2p

Combine like terms: -8 + -2 = -10
-12 + 4p = -10 + 2p

Solving
-12 + 4p = -10 + 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.
-12 + 4p + -2p = -10 + 2p + -2p

Combine like terms: 4p + -2p = 2p
-12 + 2p = -10 + 2p + -2p

Combine like terms: 2p + -2p = 0
-12 + 2p = -10 + 0
-12 + 2p = -10

Add '12' to each side of the equation.
-12 + 12 + 2p = -10 + 12

Combine like terms: -12 + 12 = 0
0 + 2p = -10 + 12
2p = -10 + 12

Combine like terms: -10 + 12 = 2
2p = 2

Divide each side by '2'.
p = 1

Simplifying
p = 1

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