-413=7(8r-3)

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Solution for -413=7(8r-3) equation:


Simplifying
-413 = 7(8r + -3)

Reorder the terms:
-413 = 7(-3 + 8r)
-413 = (-3 * 7 + 8r * 7)
-413 = (-21 + 56r)

Solving
-413 = -21 + 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.
-413 + -56r = -21 + 56r + -56r

Combine like terms: 56r + -56r = 0
-413 + -56r = -21 + 0
-413 + -56r = -21

Add '413' to each side of the equation.
-413 + 413 + -56r = -21 + 413

Combine like terms: -413 + 413 = 0
0 + -56r = -21 + 413
-56r = -21 + 413

Combine like terms: -21 + 413 = 392
-56r = 392

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

Simplifying
r = -7

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