2p-2(4-3p)=6(p-4)-18

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Solution for 2p-2(4-3p)=6(p-4)-18 equation:


Simplifying
2p + -2(4 + -3p) = 6(p + -4) + -18
2p + (4 * -2 + -3p * -2) = 6(p + -4) + -18
2p + (-8 + 6p) = 6(p + -4) + -18

Reorder the terms:
-8 + 2p + 6p = 6(p + -4) + -18

Combine like terms: 2p + 6p = 8p
-8 + 8p = 6(p + -4) + -18

Reorder the terms:
-8 + 8p = 6(-4 + p) + -18
-8 + 8p = (-4 * 6 + p * 6) + -18
-8 + 8p = (-24 + 6p) + -18

Reorder the terms:
-8 + 8p = -24 + -18 + 6p

Combine like terms: -24 + -18 = -42
-8 + 8p = -42 + 6p

Solving
-8 + 8p = -42 + 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 = -42 + 6p + -6p

Combine like terms: 8p + -6p = 2p
-8 + 2p = -42 + 6p + -6p

Combine like terms: 6p + -6p = 0
-8 + 2p = -42 + 0
-8 + 2p = -42

Add '8' to each side of the equation.
-8 + 8 + 2p = -42 + 8

Combine like terms: -8 + 8 = 0
0 + 2p = -42 + 8
2p = -42 + 8

Combine like terms: -42 + 8 = -34
2p = -34

Divide each side by '2'.
p = -17

Simplifying
p = -17

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