-2p+8=5-(7p+6)

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Solution for -2p+8=5-(7p+6) equation:


Simplifying
-2p + 8 = 5 + -1(7p + 6)

Reorder the terms:
8 + -2p = 5 + -1(7p + 6)

Reorder the terms:
8 + -2p = 5 + -1(6 + 7p)
8 + -2p = 5 + (6 * -1 + 7p * -1)
8 + -2p = 5 + (-6 + -7p)

Combine like terms: 5 + -6 = -1
8 + -2p = -1 + -7p

Solving
8 + -2p = -1 + -7p

Solving for variable 'p'.

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

Add '7p' to each side of the equation.
8 + -2p + 7p = -1 + -7p + 7p

Combine like terms: -2p + 7p = 5p
8 + 5p = -1 + -7p + 7p

Combine like terms: -7p + 7p = 0
8 + 5p = -1 + 0
8 + 5p = -1

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

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

Combine like terms: -1 + -8 = -9
5p = -9

Divide each side by '5'.
p = -1.8

Simplifying
p = -1.8

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