7-5(p-8)=1-p

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Solution for 7-5(p-8)=1-p equation: 


Simplifying
7 + -5(p + -8) = 1 + -1p

Reorder the terms:
7 + -5(-8 + p) = 1 + -1p
7 + (-8 * -5 + p * -5) = 1 + -1p
7 + (40 + -5p) = 1 + -1p

Combine like terms: 7 + 40 = 47
47 + -5p = 1 + -1p

Solving
47 + -5p = 1 + -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.
47 + -5p + p = 1 + -1p + p

Combine like terms: -5p + p = -4p
47 + -4p = 1 + -1p + p

Combine like terms: -1p + p = 0
47 + -4p = 1 + 0
47 + -4p = 1

Add '-47' to each side of the equation.
47 + -47 + -4p = 1 + -47

Combine like terms: 47 + -47 = 0
0 + -4p = 1 + -47
-4p = 1 + -47

Combine like terms: 1 + -47 = -46
-4p = -46

Divide each side by '-4'.
p = 11.5

Simplifying
p = 11.5

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