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

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


Simplifying
3(p + -3) + -5p = 3p + -6

Reorder the terms:
3(-3 + p) + -5p = 3p + -6
(-3 * 3 + p * 3) + -5p = 3p + -6
(-9 + 3p) + -5p = 3p + -6

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

Reorder the terms:
-9 + -2p = -6 + 3p

Solving
-9 + -2p = -6 + 3p

Solving for variable 'p'.

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

Add '-3p' to each side of the equation.
-9 + -2p + -3p = -6 + 3p + -3p

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

Combine like terms: 3p + -3p = 0
-9 + -5p = -6 + 0
-9 + -5p = -6

Add '9' to each side of the equation.
-9 + 9 + -5p = -6 + 9

Combine like terms: -9 + 9 = 0
0 + -5p = -6 + 9
-5p = -6 + 9

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

Divide each side by '-5'.
p = -0.6

Simplifying
p = -0.6

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