-5(-7p+1)=-5+10(8+4p)

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Solution for -5(-7p+1)=-5+10(8+4p) equation:


Simplifying
-5(-7p + 1) = -5 + 10(8 + 4p)

Reorder the terms:
-5(1 + -7p) = -5 + 10(8 + 4p)
(1 * -5 + -7p * -5) = -5 + 10(8 + 4p)
(-5 + 35p) = -5 + 10(8 + 4p)
-5 + 35p = -5 + (8 * 10 + 4p * 10)
-5 + 35p = -5 + (80 + 40p)

Combine like terms: -5 + 80 = 75
-5 + 35p = 75 + 40p

Solving
-5 + 35p = 75 + 40p

Solving for variable 'p'.

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

Add '-40p' to each side of the equation.
-5 + 35p + -40p = 75 + 40p + -40p

Combine like terms: 35p + -40p = -5p
-5 + -5p = 75 + 40p + -40p

Combine like terms: 40p + -40p = 0
-5 + -5p = 75 + 0
-5 + -5p = 75

Add '5' to each side of the equation.
-5 + 5 + -5p = 75 + 5

Combine like terms: -5 + 5 = 0
0 + -5p = 75 + 5
-5p = 75 + 5

Combine like terms: 75 + 5 = 80
-5p = 80

Divide each side by '-5'.
p = -16

Simplifying
p = -16

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