-p+18=-p-6(-5p+2)

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Solution for -p+18=-p-6(-5p+2) equation: 


Simplifying
-1p + 18 = -1p + -6(-5p + 2)

Reorder the terms:
18 + -1p = -1p + -6(-5p + 2)

Reorder the terms:
18 + -1p = -1p + -6(2 + -5p)
18 + -1p = -1p + (2 * -6 + -5p * -6)
18 + -1p = -1p + (-12 + 30p)

Reorder the terms:
18 + -1p = -12 + -1p + 30p

Combine like terms: -1p + 30p = 29p
18 + -1p = -12 + 29p

Solving
18 + -1p = -12 + 29p

Solving for variable 'p'.

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

Add '-29p' to each side of the equation.
18 + -1p + -29p = -12 + 29p + -29p

Combine like terms: -1p + -29p = -30p
18 + -30p = -12 + 29p + -29p

Combine like terms: 29p + -29p = 0
18 + -30p = -12 + 0
18 + -30p = -12

Add '-18' to each side of the equation.
18 + -18 + -30p = -12 + -18

Combine like terms: 18 + -18 = 0
0 + -30p = -12 + -18
-30p = -12 + -18

Combine like terms: -12 + -18 = -30
-30p = -30

Divide each side by '-30'.
p = 1

Simplifying
p = 1

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