-3p-2(2-5p)=5(p-6)-16

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Solution for -3p-2(2-5p)=5(p-6)-16 equation:


Simplifying
-3p + -2(2 + -5p) = 5(p + -6) + -16
-3p + (2 * -2 + -5p * -2) = 5(p + -6) + -16
-3p + (-4 + 10p) = 5(p + -6) + -16

Reorder the terms:
-4 + -3p + 10p = 5(p + -6) + -16

Combine like terms: -3p + 10p = 7p
-4 + 7p = 5(p + -6) + -16

Reorder the terms:
-4 + 7p = 5(-6 + p) + -16
-4 + 7p = (-6 * 5 + p * 5) + -16
-4 + 7p = (-30 + 5p) + -16

Reorder the terms:
-4 + 7p = -30 + -16 + 5p

Combine like terms: -30 + -16 = -46
-4 + 7p = -46 + 5p

Solving
-4 + 7p = -46 + 5p

Solving for variable 'p'.

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

Add '-5p' to each side of the equation.
-4 + 7p + -5p = -46 + 5p + -5p

Combine like terms: 7p + -5p = 2p
-4 + 2p = -46 + 5p + -5p

Combine like terms: 5p + -5p = 0
-4 + 2p = -46 + 0
-4 + 2p = -46

Add '4' to each side of the equation.
-4 + 4 + 2p = -46 + 4

Combine like terms: -4 + 4 = 0
0 + 2p = -46 + 4
2p = -46 + 4

Combine like terms: -46 + 4 = -42
2p = -42

Divide each side by '2'.
p = -21

Simplifying
p = -21

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