-3p-4(4-2p)=2(p-4)-26

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Solution for -3p-4(4-2p)=2(p-4)-26 equation:


Simplifying
-3p + -4(4 + -2p) = 2(p + -4) + -26
-3p + (4 * -4 + -2p * -4) = 2(p + -4) + -26
-3p + (-16 + 8p) = 2(p + -4) + -26

Reorder the terms:
-16 + -3p + 8p = 2(p + -4) + -26

Combine like terms: -3p + 8p = 5p
-16 + 5p = 2(p + -4) + -26

Reorder the terms:
-16 + 5p = 2(-4 + p) + -26
-16 + 5p = (-4 * 2 + p * 2) + -26
-16 + 5p = (-8 + 2p) + -26

Reorder the terms:
-16 + 5p = -8 + -26 + 2p

Combine like terms: -8 + -26 = -34
-16 + 5p = -34 + 2p

Solving
-16 + 5p = -34 + 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.
-16 + 5p + -2p = -34 + 2p + -2p

Combine like terms: 5p + -2p = 3p
-16 + 3p = -34 + 2p + -2p

Combine like terms: 2p + -2p = 0
-16 + 3p = -34 + 0
-16 + 3p = -34

Add '16' to each side of the equation.
-16 + 16 + 3p = -34 + 16

Combine like terms: -16 + 16 = 0
0 + 3p = -34 + 16
3p = -34 + 16

Combine like terms: -34 + 16 = -18
3p = -18

Divide each side by '3'.
p = -6

Simplifying
p = -6

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