-3p+8=5-(5p+6)

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Solution for -3p+8=5-(5p+6) equation:


Simplifying
-3p + 8 = 5 + -1(5p + 6)

Reorder the terms:
8 + -3p = 5 + -1(5p + 6)

Reorder the terms:
8 + -3p = 5 + -1(6 + 5p)
8 + -3p = 5 + (6 * -1 + 5p * -1)
8 + -3p = 5 + (-6 + -5p)

Combine like terms: 5 + -6 = -1
8 + -3p = -1 + -5p

Solving
8 + -3p = -1 + -5p

Solving for variable 'p'.

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

Add '5p' to each side of the equation.
8 + -3p + 5p = -1 + -5p + 5p

Combine like terms: -3p + 5p = 2p
8 + 2p = -1 + -5p + 5p

Combine like terms: -5p + 5p = 0
8 + 2p = -1 + 0
8 + 2p = -1

Add '-8' to each side of the equation.
8 + -8 + 2p = -1 + -8

Combine like terms: 8 + -8 = 0
0 + 2p = -1 + -8
2p = -1 + -8

Combine like terms: -1 + -8 = -9
2p = -9

Divide each side by '2'.
p = -4.5

Simplifying
p = -4.5

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