-(1+7p)+8(-3p+2)=-16

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Solution for -(1+7p)+8(-3p+2)=-16 equation: 


Simplifying
-1(1 + 7p) + 8(-3p + 2) = -16
(1 * -1 + 7p * -1) + 8(-3p + 2) = -16
(-1 + -7p) + 8(-3p + 2) = -16

Reorder the terms:
-1 + -7p + 8(2 + -3p) = -16
-1 + -7p + (2 * 8 + -3p * 8) = -16
-1 + -7p + (16 + -24p) = -16

Reorder the terms:
-1 + 16 + -7p + -24p = -16

Combine like terms: -1 + 16 = 15
15 + -7p + -24p = -16

Combine like terms: -7p + -24p = -31p
15 + -31p = -16

Solving
15 + -31p = -16

Solving for variable 'p'.

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

Add '-15' to each side of the equation.
15 + -15 + -31p = -16 + -15

Combine like terms: 15 + -15 = 0
0 + -31p = -16 + -15
-31p = -16 + -15

Combine like terms: -16 + -15 = -31
-31p = -31

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

Simplifying
p = 1

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