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

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Solution for 15-p=6+5(6p+8) equation: 


Simplifying
15 + -1p = 6 + 5(6p + 8)

Reorder the terms:
15 + -1p = 6 + 5(8 + 6p)
15 + -1p = 6 + (8 * 5 + 6p * 5)
15 + -1p = 6 + (40 + 30p)

Combine like terms: 6 + 40 = 46
15 + -1p = 46 + 30p

Solving
15 + -1p = 46 + 30p

Solving for variable 'p'.

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

Add '-30p' to each side of the equation.
15 + -1p + -30p = 46 + 30p + -30p

Combine like terms: -1p + -30p = -31p
15 + -31p = 46 + 30p + -30p

Combine like terms: 30p + -30p = 0
15 + -31p = 46 + 0
15 + -31p = 46

Add '-15' to each side of the equation.
15 + -15 + -31p = 46 + -15

Combine like terms: 15 + -15 = 0
0 + -31p = 46 + -15
-31p = 46 + -15

Combine like terms: 46 + -15 = 31
-31p = 31

Divide each side by '-31'.
p = -1

Simplifying
p = -1

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