-416=-8(-7r+3)

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


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

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

Solving
-416 = -24 + 56r

Solving for variable 'r'.

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

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

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

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

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

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

Divide each side by '-56'.
r = -7

Simplifying
r = -7

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