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Simplifying 5(1 + 2r) + 8r = 37 + 2r (1 * 5 + 2r * 5) + 8r = 37 + 2r (5 + 10r) + 8r = 37 + 2r Combine like terms: 10r + 8r = 18r 5 + 18r = 37 + 2r Solving 5 + 18r = 37 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 5 + 18r + -2r = 37 + 2r + -2r Combine like terms: 18r + -2r = 16r 5 + 16r = 37 + 2r + -2r Combine like terms: 2r + -2r = 0 5 + 16r = 37 + 0 5 + 16r = 37 Add '-5' to each side of the equation. 5 + -5 + 16r = 37 + -5 Combine like terms: 5 + -5 = 0 0 + 16r = 37 + -5 16r = 37 + -5 Combine like terms: 37 + -5 = 32 16r = 32 Divide each side by '16'. r = 2 Simplifying r = 2
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