5p+(8-2p)-(6p+12)=0

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Solution for 5p+(8-2p)-(6p+12)=0 equation:


Simplifying
5p + (8 + -2p) + -1(6p + 12) = 0

Remove parenthesis around (8 + -2p)
5p + 8 + -2p + -1(6p + 12) = 0

Reorder the terms:
5p + 8 + -2p + -1(12 + 6p) = 0
5p + 8 + -2p + (12 * -1 + 6p * -1) = 0
5p + 8 + -2p + (-12 + -6p) = 0

Reorder the terms:
8 + -12 + 5p + -2p + -6p = 0

Combine like terms: 8 + -12 = -4
-4 + 5p + -2p + -6p = 0

Combine like terms: 5p + -2p = 3p
-4 + 3p + -6p = 0

Combine like terms: 3p + -6p = -3p
-4 + -3p = 0

Solving
-4 + -3p = 0

Solving for variable 'p'.

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

Add '4' to each side of the equation.
-4 + 4 + -3p = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3p = 0 + 4
-3p = 0 + 4

Combine like terms: 0 + 4 = 4
-3p = 4

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

Simplifying
p = -1.333333333

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