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Simplifying 3r + 8(5 + -6r) = 142 3r + (5 * 8 + -6r * 8) = 142 3r + (40 + -48r) = 142 Reorder the terms: 40 + 3r + -48r = 142 Combine like terms: 3r + -48r = -45r 40 + -45r = 142 Solving 40 + -45r = 142 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -45r = 142 + -40 Combine like terms: 40 + -40 = 0 0 + -45r = 142 + -40 -45r = 142 + -40 Combine like terms: 142 + -40 = 102 -45r = 102 Divide each side by '-45'. r = -2.266666667 Simplifying r = -2.266666667
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