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Simplifying 5(6 + 3r) + 7 = 127 (6 * 5 + 3r * 5) + 7 = 127 (30 + 15r) + 7 = 127 Reorder the terms: 30 + 7 + 15r = 127 Combine like terms: 30 + 7 = 37 37 + 15r = 127 Solving 37 + 15r = 127 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + 15r = 127 + -37 Combine like terms: 37 + -37 = 0 0 + 15r = 127 + -37 15r = 127 + -37 Combine like terms: 127 + -37 = 90 15r = 90 Divide each side by '15'. r = 6 Simplifying r = 6
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