3(p-1)+6=(2p-1)-2p

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Solution for 3(p-1)+6=(2p-1)-2p equation:


Simplifying
3(p + -1) + 6 = (2p + -1) + -2p

Reorder the terms:
3(-1 + p) + 6 = (2p + -1) + -2p
(-1 * 3 + p * 3) + 6 = (2p + -1) + -2p
(-3 + 3p) + 6 = (2p + -1) + -2p

Reorder the terms:
-3 + 6 + 3p = (2p + -1) + -2p

Combine like terms: -3 + 6 = 3
3 + 3p = (2p + -1) + -2p

Reorder the terms:
3 + 3p = (-1 + 2p) + -2p

Remove parenthesis around (-1 + 2p)
3 + 3p = -1 + 2p + -2p

Combine like terms: 2p + -2p = 0
3 + 3p = -1 + 0
3 + 3p = -1

Solving
3 + 3p = -1

Solving for variable 'p'.

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

Add '-3' to each side of the equation.
3 + -3 + 3p = -1 + -3

Combine like terms: 3 + -3 = 0
0 + 3p = -1 + -3
3p = -1 + -3

Combine like terms: -1 + -3 = -4
3p = -4

Divide each side by '3'.
p = -1.333333333

Simplifying
p = -1.333333333

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