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Simplifying 3(5r + 4) + -4(r + 8) = 0 Reorder the terms: 3(4 + 5r) + -4(r + 8) = 0 (4 * 3 + 5r * 3) + -4(r + 8) = 0 (12 + 15r) + -4(r + 8) = 0 Reorder the terms: 12 + 15r + -4(8 + r) = 0 12 + 15r + (8 * -4 + r * -4) = 0 12 + 15r + (-32 + -4r) = 0 Reorder the terms: 12 + -32 + 15r + -4r = 0 Combine like terms: 12 + -32 = -20 -20 + 15r + -4r = 0 Combine like terms: 15r + -4r = 11r -20 + 11r = 0 Solving -20 + 11r = 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 + 11r = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 11r = 0 + 20 11r = 0 + 20 Combine like terms: 0 + 20 = 20 11r = 20 Divide each side by '11'. r = 1.818181818 Simplifying r = 1.818181818
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