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Simplifying 3(6 + -5r) = -102 (6 * 3 + -5r * 3) = -102 (18 + -15r) = -102 Solving 18 + -15r = -102 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -15r = -102 + -18 Combine like terms: 18 + -18 = 0 0 + -15r = -102 + -18 -15r = -102 + -18 Combine like terms: -102 + -18 = -120 -15r = -120 Divide each side by '-15'. r = 8 Simplifying r = 8
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