3p+8=6-(9p+5)

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Solution for 3p+8=6-(9p+5) equation:


Simplifying
3p + 8 = 6 + -1(9p + 5)

Reorder the terms:
8 + 3p = 6 + -1(9p + 5)

Reorder the terms:
8 + 3p = 6 + -1(5 + 9p)
8 + 3p = 6 + (5 * -1 + 9p * -1)
8 + 3p = 6 + (-5 + -9p)

Combine like terms: 6 + -5 = 1
8 + 3p = 1 + -9p

Solving
8 + 3p = 1 + -9p

Solving for variable 'p'.

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

Add '9p' to each side of the equation.
8 + 3p + 9p = 1 + -9p + 9p

Combine like terms: 3p + 9p = 12p
8 + 12p = 1 + -9p + 9p

Combine like terms: -9p + 9p = 0
8 + 12p = 1 + 0
8 + 12p = 1

Add '-8' to each side of the equation.
8 + -8 + 12p = 1 + -8

Combine like terms: 8 + -8 = 0
0 + 12p = 1 + -8
12p = 1 + -8

Combine like terms: 1 + -8 = -7
12p = -7

Divide each side by '12'.
p = -0.5833333333

Simplifying
p = -0.5833333333

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