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Simplifying 6r + 8(15 + -6r) = 100 6r + (15 * 8 + -6r * 8) = 100 6r + (120 + -48r) = 100 Reorder the terms: 120 + 6r + -48r = 100 Combine like terms: 6r + -48r = -42r 120 + -42r = 100 Solving 120 + -42r = 100 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -120 + -42r = 100 + -120 Combine like terms: 120 + -120 = 0 0 + -42r = 100 + -120 -42r = 100 + -120 Combine like terms: 100 + -120 = -20 -42r = -20 Divide each side by '-42'. r = 0.4761904762 Simplifying r = 0.4761904762
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