5(p-6)-8p=2-7p

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Solution for 5(p-6)-8p=2-7p equation:


Simplifying
5(p + -6) + -8p = 2 + -7p

Reorder the terms:
5(-6 + p) + -8p = 2 + -7p
(-6 * 5 + p * 5) + -8p = 2 + -7p
(-30 + 5p) + -8p = 2 + -7p

Combine like terms: 5p + -8p = -3p
-30 + -3p = 2 + -7p

Solving
-30 + -3p = 2 + -7p

Solving for variable 'p'.

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

Add '7p' to each side of the equation.
-30 + -3p + 7p = 2 + -7p + 7p

Combine like terms: -3p + 7p = 4p
-30 + 4p = 2 + -7p + 7p

Combine like terms: -7p + 7p = 0
-30 + 4p = 2 + 0
-30 + 4p = 2

Add '30' to each side of the equation.
-30 + 30 + 4p = 2 + 30

Combine like terms: -30 + 30 = 0
0 + 4p = 2 + 30
4p = 2 + 30

Combine like terms: 2 + 30 = 32
4p = 32

Divide each side by '4'.
p = 8

Simplifying
p = 8

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