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Simplifying 5(6 + 3r) + 17 = 127 (6 * 5 + 3r * 5) + 17 = 127 (30 + 15r) + 17 = 127 Reorder the terms: 30 + 17 + 15r = 127 Combine like terms: 30 + 17 = 47 47 + 15r = 127 Solving 47 + 15r = 127 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + 15r = 127 + -47 Combine like terms: 47 + -47 = 0 0 + 15r = 127 + -47 15r = 127 + -47 Combine like terms: 127 + -47 = 80 15r = 80 Divide each side by '15'. r = 5.333333333 Simplifying r = 5.333333333
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