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Simplifying 1r + 5 = 2(5r + -3) Reorder the terms: 5 + 1r = 2(5r + -3) Reorder the terms: 5 + 1r = 2(-3 + 5r) 5 + 1r = (-3 * 2 + 5r * 2) 5 + 1r = (-6 + 10r) Solving 5 + 1r = -6 + 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. 5 + 1r + -10r = -6 + 10r + -10r Combine like terms: 1r + -10r = -9r 5 + -9r = -6 + 10r + -10r Combine like terms: 10r + -10r = 0 5 + -9r = -6 + 0 5 + -9r = -6 Add '-5' to each side of the equation. 5 + -5 + -9r = -6 + -5 Combine like terms: 5 + -5 = 0 0 + -9r = -6 + -5 -9r = -6 + -5 Combine like terms: -6 + -5 = -11 -9r = -11 Divide each side by '-9'. r = 1.222222222 Simplifying r = 1.222222222
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