-3p+8=5-(12p+2)

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Solution for -3p+8=5-(12p+2) equation:


Simplifying
-3p + 8 = 5 + -1(12p + 2)

Reorder the terms:
8 + -3p = 5 + -1(12p + 2)

Reorder the terms:
8 + -3p = 5 + -1(2 + 12p)
8 + -3p = 5 + (2 * -1 + 12p * -1)
8 + -3p = 5 + (-2 + -12p)

Combine like terms: 5 + -2 = 3
8 + -3p = 3 + -12p

Solving
8 + -3p = 3 + -12p

Solving for variable 'p'.

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

Add '12p' to each side of the equation.
8 + -3p + 12p = 3 + -12p + 12p

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

Combine like terms: -12p + 12p = 0
8 + 9p = 3 + 0
8 + 9p = 3

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

Combine like terms: 8 + -8 = 0
0 + 9p = 3 + -8
9p = 3 + -8

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

Divide each side by '9'.
p = -0.5555555556

Simplifying
p = -0.5555555556

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