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Simplifying -5(10r + 10) + 5(4r + 6) = 0 Reorder the terms: -5(10 + 10r) + 5(4r + 6) = 0 (10 * -5 + 10r * -5) + 5(4r + 6) = 0 (-50 + -50r) + 5(4r + 6) = 0 Reorder the terms: -50 + -50r + 5(6 + 4r) = 0 -50 + -50r + (6 * 5 + 4r * 5) = 0 -50 + -50r + (30 + 20r) = 0 Reorder the terms: -50 + 30 + -50r + 20r = 0 Combine like terms: -50 + 30 = -20 -20 + -50r + 20r = 0 Combine like terms: -50r + 20r = -30r -20 + -30r = 0 Solving -20 + -30r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -30r = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -30r = 0 + 20 -30r = 0 + 20 Combine like terms: 0 + 20 = 20 -30r = 20 Divide each side by '-30'. r = -0.6666666667 Simplifying r = -0.6666666667
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