1+2p-8p=-5(p-5)+4(5p-6)

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Solution for 1+2p-8p=-5(p-5)+4(5p-6) equation:


Simplifying
1 + 2p + -8p = -5(p + -5) + 4(5p + -6)

Combine like terms: 2p + -8p = -6p
1 + -6p = -5(p + -5) + 4(5p + -6)

Reorder the terms:
1 + -6p = -5(-5 + p) + 4(5p + -6)
1 + -6p = (-5 * -5 + p * -5) + 4(5p + -6)
1 + -6p = (25 + -5p) + 4(5p + -6)

Reorder the terms:
1 + -6p = 25 + -5p + 4(-6 + 5p)
1 + -6p = 25 + -5p + (-6 * 4 + 5p * 4)
1 + -6p = 25 + -5p + (-24 + 20p)

Reorder the terms:
1 + -6p = 25 + -24 + -5p + 20p

Combine like terms: 25 + -24 = 1
1 + -6p = 1 + -5p + 20p

Combine like terms: -5p + 20p = 15p
1 + -6p = 1 + 15p

Add '-1' to each side of the equation.
1 + -1 + -6p = 1 + -1 + 15p

Combine like terms: 1 + -1 = 0
0 + -6p = 1 + -1 + 15p
-6p = 1 + -1 + 15p

Combine like terms: 1 + -1 = 0
-6p = 0 + 15p
-6p = 15p

Solving
-6p = 15p

Solving for variable 'p'.

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

Add '-15p' to each side of the equation.
-6p + -15p = 15p + -15p

Combine like terms: -6p + -15p = -21p
-21p = 15p + -15p

Combine like terms: 15p + -15p = 0
-21p = 0

Divide each side by '-21'.
p = 0

Simplifying
p = 0

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