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Simplifying 5(1 + -3r) + -2 = 123 (1 * 5 + -3r * 5) + -2 = 123 (5 + -15r) + -2 = 123 Reorder the terms: 5 + -2 + -15r = 123 Combine like terms: 5 + -2 = 3 3 + -15r = 123 Solving 3 + -15r = 123 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -15r = 123 + -3 Combine like terms: 3 + -3 = 0 0 + -15r = 123 + -3 -15r = 123 + -3 Combine like terms: 123 + -3 = 120 -15r = 120 Divide each side by '-15'. r = -8 Simplifying r = -8
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