9p-6(p+2)+17=-2p

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Solution for 9p-6(p+2)+17=-2p equation:


Simplifying
9p + -6(p + 2) + 17 = -2p

Reorder the terms:
9p + -6(2 + p) + 17 = -2p
9p + (2 * -6 + p * -6) + 17 = -2p
9p + (-12 + -6p) + 17 = -2p

Reorder the terms:
-12 + 17 + 9p + -6p = -2p

Combine like terms: -12 + 17 = 5
5 + 9p + -6p = -2p

Combine like terms: 9p + -6p = 3p
5 + 3p = -2p

Solving
5 + 3p = -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.
5 + 3p + 2p = -2p + 2p

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

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

Add '-5' to each side of the equation.
5 + -5 + 5p = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 5p = 0 + -5
5p = 0 + -5

Combine like terms: 0 + -5 = -5
5p = -5

Divide each side by '5'.
p = -1

Simplifying
p = -1

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