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Simplifying 3(4r + 5) + -4(r + 5) = 0 Reorder the terms: 3(5 + 4r) + -4(r + 5) = 0 (5 * 3 + 4r * 3) + -4(r + 5) = 0 (15 + 12r) + -4(r + 5) = 0 Reorder the terms: 15 + 12r + -4(5 + r) = 0 15 + 12r + (5 * -4 + r * -4) = 0 15 + 12r + (-20 + -4r) = 0 Reorder the terms: 15 + -20 + 12r + -4r = 0 Combine like terms: 15 + -20 = -5 -5 + 12r + -4r = 0 Combine like terms: 12r + -4r = 8r -5 + 8r = 0 Solving -5 + 8r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 8r = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 8r = 0 + 5 8r = 0 + 5 Combine like terms: 0 + 5 = 5 8r = 5 Divide each side by '8'. r = 0.625 Simplifying r = 0.625
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