-p+4=3(9p+10)-3(-8+10)

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Solution for -p+4=3(9p+10)-3(-8+10) equation:


Simplifying
-1p + 4 = 3(9p + 10) + -3(-8 + 10)

Reorder the terms:
4 + -1p = 3(9p + 10) + -3(-8 + 10)

Reorder the terms:
4 + -1p = 3(10 + 9p) + -3(-8 + 10)
4 + -1p = (10 * 3 + 9p * 3) + -3(-8 + 10)
4 + -1p = (30 + 27p) + -3(-8 + 10)

Combine like terms: -8 + 10 = 2
4 + -1p = 30 + 27p + -3(2)

Multiply -3 * 2
4 + -1p = 30 + 27p + -6

Reorder the terms:
4 + -1p = 30 + -6 + 27p

Combine like terms: 30 + -6 = 24
4 + -1p = 24 + 27p

Solving
4 + -1p = 24 + 27p

Solving for variable 'p'.

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

Add '-27p' to each side of the equation.
4 + -1p + -27p = 24 + 27p + -27p

Combine like terms: -1p + -27p = -28p
4 + -28p = 24 + 27p + -27p

Combine like terms: 27p + -27p = 0
4 + -28p = 24 + 0
4 + -28p = 24

Add '-4' to each side of the equation.
4 + -4 + -28p = 24 + -4

Combine like terms: 4 + -4 = 0
0 + -28p = 24 + -4
-28p = 24 + -4

Combine like terms: 24 + -4 = 20
-28p = 20

Divide each side by '-28'.
p = -0.7142857143

Simplifying
p = -0.7142857143

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