6p-(5p+5)=-8-28(p+12)

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Solution for 6p-(5p+5)=-8-28(p+12) equation:


Simplifying
6p + -1(5p + 5) = -8 + -28(p + 12)

Reorder the terms:
6p + -1(5 + 5p) = -8 + -28(p + 12)
6p + (5 * -1 + 5p * -1) = -8 + -28(p + 12)
6p + (-5 + -5p) = -8 + -28(p + 12)

Reorder the terms:
-5 + 6p + -5p = -8 + -28(p + 12)

Combine like terms: 6p + -5p = 1p
-5 + 1p = -8 + -28(p + 12)

Reorder the terms:
-5 + 1p = -8 + -28(12 + p)
-5 + 1p = -8 + (12 * -28 + p * -28)
-5 + 1p = -8 + (-336 + -28p)

Combine like terms: -8 + -336 = -344
-5 + 1p = -344 + -28p

Solving
-5 + 1p = -344 + -28p

Solving for variable 'p'.

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

Add '28p' to each side of the equation.
-5 + 1p + 28p = -344 + -28p + 28p

Combine like terms: 1p + 28p = 29p
-5 + 29p = -344 + -28p + 28p

Combine like terms: -28p + 28p = 0
-5 + 29p = -344 + 0
-5 + 29p = -344

Add '5' to each side of the equation.
-5 + 5 + 29p = -344 + 5

Combine like terms: -5 + 5 = 0
0 + 29p = -344 + 5
29p = -344 + 5

Combine like terms: -344 + 5 = -339
29p = -339

Divide each side by '29'.
p = -11.68965517

Simplifying
p = -11.68965517

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