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Simplifying -3(10r + 5) + 10(2r + 8) = 0 Reorder the terms: -3(5 + 10r) + 10(2r + 8) = 0 (5 * -3 + 10r * -3) + 10(2r + 8) = 0 (-15 + -30r) + 10(2r + 8) = 0 Reorder the terms: -15 + -30r + 10(8 + 2r) = 0 -15 + -30r + (8 * 10 + 2r * 10) = 0 -15 + -30r + (80 + 20r) = 0 Reorder the terms: -15 + 80 + -30r + 20r = 0 Combine like terms: -15 + 80 = 65 65 + -30r + 20r = 0 Combine like terms: -30r + 20r = -10r 65 + -10r = 0 Solving 65 + -10r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-65' to each side of the equation. 65 + -65 + -10r = 0 + -65 Combine like terms: 65 + -65 = 0 0 + -10r = 0 + -65 -10r = 0 + -65 Combine like terms: 0 + -65 = -65 -10r = -65 Divide each side by '-10'. r = 6.5 Simplifying r = 6.5
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