-61=-(5p+5)+6(5+8p)

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Solution for -61=-(5p+5)+6(5+8p) equation:


Simplifying
-61 = -1(5p + 5) + 6(5 + 8p)

Reorder the terms:
-61 = -1(5 + 5p) + 6(5 + 8p)
-61 = (5 * -1 + 5p * -1) + 6(5 + 8p)
-61 = (-5 + -5p) + 6(5 + 8p)
-61 = -5 + -5p + (5 * 6 + 8p * 6)
-61 = -5 + -5p + (30 + 48p)

Reorder the terms:
-61 = -5 + 30 + -5p + 48p

Combine like terms: -5 + 30 = 25
-61 = 25 + -5p + 48p

Combine like terms: -5p + 48p = 43p
-61 = 25 + 43p

Solving
-61 = 25 + 43p

Solving for variable 'p'.

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

Add '-43p' to each side of the equation.
-61 + -43p = 25 + 43p + -43p

Combine like terms: 43p + -43p = 0
-61 + -43p = 25 + 0
-61 + -43p = 25

Add '61' to each side of the equation.
-61 + 61 + -43p = 25 + 61

Combine like terms: -61 + 61 = 0
0 + -43p = 25 + 61
-43p = 25 + 61

Combine like terms: 25 + 61 = 86
-43p = 86

Divide each side by '-43'.
p = -2

Simplifying
p = -2

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