-416=8(-7p-3)

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Solution for -416=8(-7p-3) equation:


Simplifying
-416 = 8(-7p + -3)

Reorder the terms:
-416 = 8(-3 + -7p)
-416 = (-3 * 8 + -7p * 8)
-416 = (-24 + -56p)

Solving
-416 = -24 + -56p

Solving for variable 'p'.

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

Add '56p' to each side of the equation.
-416 + 56p = -24 + -56p + 56p

Combine like terms: -56p + 56p = 0
-416 + 56p = -24 + 0
-416 + 56p = -24

Add '416' to each side of the equation.
-416 + 416 + 56p = -24 + 416

Combine like terms: -416 + 416 = 0
0 + 56p = -24 + 416
56p = -24 + 416

Combine like terms: -24 + 416 = 392
56p = 392

Divide each side by '56'.
p = 7

Simplifying
p = 7

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