6p-2(p+6)=8

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


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

Reorder the terms:
6p + -2(6 + p) = 8
6p + (6 * -2 + p * -2) = 8
6p + (-12 + -2p) = 8

Reorder the terms:
-12 + 6p + -2p = 8

Combine like terms: 6p + -2p = 4p
-12 + 4p = 8

Solving
-12 + 4p = 8

Solving for variable 'p'.

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

Add '12' to each side of the equation.
-12 + 12 + 4p = 8 + 12

Combine like terms: -12 + 12 = 0
0 + 4p = 8 + 12
4p = 8 + 12

Combine like terms: 8 + 12 = 20
4p = 20

Divide each side by '4'.
p = 5

Simplifying
p = 5

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