13+30(r+21)=-39(21+18r)+r

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Solution for 13+30(r+21)=-39(21+18r)+r equation: 


Simplifying
13 + 30(r + 21) = -39(21 + 18r) + r

Reorder the terms:
13 + 30(21 + r) = -39(21 + 18r) + r
13 + (21 * 30 + r * 30) = -39(21 + 18r) + r
13 + (630 + 30r) = -39(21 + 18r) + r

Combine like terms: 13 + 630 = 643
643 + 30r = -39(21 + 18r) + r
643 + 30r = (21 * -39 + 18r * -39) + r
643 + 30r = (-819 + -702r) + r

Combine like terms: -702r + r = -701r
643 + 30r = -819 + -701r

Solving
643 + 30r = -819 + -701r

Solving for variable 'r'.

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

Add '701r' to each side of the equation.
643 + 30r + 701r = -819 + -701r + 701r

Combine like terms: 30r + 701r = 731r
643 + 731r = -819 + -701r + 701r

Combine like terms: -701r + 701r = 0
643 + 731r = -819 + 0
643 + 731r = -819

Add '-643' to each side of the equation.
643 + -643 + 731r = -819 + -643

Combine like terms: 643 + -643 = 0
0 + 731r = -819 + -643
731r = -819 + -643

Combine like terms: -819 + -643 = -1462
731r = -1462

Divide each side by '731'.
r = -2

Simplifying
r = -2

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