-4p-2(6-5p)=4(p-3)-18

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Solution for -4p-2(6-5p)=4(p-3)-18 equation:


Simplifying
-4p + -2(6 + -5p) = 4(p + -3) + -18
-4p + (6 * -2 + -5p * -2) = 4(p + -3) + -18
-4p + (-12 + 10p) = 4(p + -3) + -18

Reorder the terms:
-12 + -4p + 10p = 4(p + -3) + -18

Combine like terms: -4p + 10p = 6p
-12 + 6p = 4(p + -3) + -18

Reorder the terms:
-12 + 6p = 4(-3 + p) + -18
-12 + 6p = (-3 * 4 + p * 4) + -18
-12 + 6p = (-12 + 4p) + -18

Reorder the terms:
-12 + 6p = -12 + -18 + 4p

Combine like terms: -12 + -18 = -30
-12 + 6p = -30 + 4p

Solving
-12 + 6p = -30 + 4p

Solving for variable 'p'.

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

Add '-4p' to each side of the equation.
-12 + 6p + -4p = -30 + 4p + -4p

Combine like terms: 6p + -4p = 2p
-12 + 2p = -30 + 4p + -4p

Combine like terms: 4p + -4p = 0
-12 + 2p = -30 + 0
-12 + 2p = -30

Add '12' to each side of the equation.
-12 + 12 + 2p = -30 + 12

Combine like terms: -12 + 12 = 0
0 + 2p = -30 + 12
2p = -30 + 12

Combine like terms: -30 + 12 = -18
2p = -18

Divide each side by '2'.
p = -9

Simplifying
p = -9

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