8p-2(p-2)=10+7p

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Solution for 8p-2(p-2)=10+7p equation:


Simplifying
8p + -2(p + -2) = 10 + 7p

Reorder the terms:
8p + -2(-2 + p) = 10 + 7p
8p + (-2 * -2 + p * -2) = 10 + 7p
8p + (4 + -2p) = 10 + 7p

Reorder the terms:
4 + 8p + -2p = 10 + 7p

Combine like terms: 8p + -2p = 6p
4 + 6p = 10 + 7p

Solving
4 + 6p = 10 + 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.
4 + 6p + -7p = 10 + 7p + -7p

Combine like terms: 6p + -7p = -1p
4 + -1p = 10 + 7p + -7p

Combine like terms: 7p + -7p = 0
4 + -1p = 10 + 0
4 + -1p = 10

Add '-4' to each side of the equation.
4 + -4 + -1p = 10 + -4

Combine like terms: 4 + -4 = 0
0 + -1p = 10 + -4
-1p = 10 + -4

Combine like terms: 10 + -4 = 6
-1p = 6

Divide each side by '-1'.
p = -6

Simplifying
p = -6

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