8-7(p-4)=-p

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Solution for 8-7(p-4)=-p equation: 


Simplifying
8 + -7(p + -4) = -1p

Reorder the terms:
8 + -7(-4 + p) = -1p
8 + (-4 * -7 + p * -7) = -1p
8 + (28 + -7p) = -1p

Combine like terms: 8 + 28 = 36
36 + -7p = -1p

Solving
36 + -7p = -1p

Solving for variable 'p'.

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

Add 'p' to each side of the equation.
36 + -7p + p = -1p + p

Combine like terms: -7p + p = -6p
36 + -6p = -1p + p

Combine like terms: -1p + p = 0
36 + -6p = 0

Add '-36' to each side of the equation.
36 + -36 + -6p = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -6p = 0 + -36
-6p = 0 + -36

Combine like terms: 0 + -36 = -36
-6p = -36

Divide each side by '-6'.
p = 6

Simplifying
p = 6

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