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Simplifying -4(6r + 5) + 4(8r + 10) = 0 Reorder the terms: -4(5 + 6r) + 4(8r + 10) = 0 (5 * -4 + 6r * -4) + 4(8r + 10) = 0 (-20 + -24r) + 4(8r + 10) = 0 Reorder the terms: -20 + -24r + 4(10 + 8r) = 0 -20 + -24r + (10 * 4 + 8r * 4) = 0 -20 + -24r + (40 + 32r) = 0 Reorder the terms: -20 + 40 + -24r + 32r = 0 Combine like terms: -20 + 40 = 20 20 + -24r + 32r = 0 Combine like terms: -24r + 32r = 8r 20 + 8r = 0 Solving 20 + 8r = 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 + 8r = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 8r = 0 + -20 8r = 0 + -20 Combine like terms: 0 + -20 = -20 8r = -20 Divide each side by '8'. r = -2.5 Simplifying r = -2.5
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