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Simplifying 2(3r + -4) + -1(4r + 9) = 0 Reorder the terms: 2(-4 + 3r) + -1(4r + 9) = 0 (-4 * 2 + 3r * 2) + -1(4r + 9) = 0 (-8 + 6r) + -1(4r + 9) = 0 Reorder the terms: -8 + 6r + -1(9 + 4r) = 0 -8 + 6r + (9 * -1 + 4r * -1) = 0 -8 + 6r + (-9 + -4r) = 0 Reorder the terms: -8 + -9 + 6r + -4r = 0 Combine like terms: -8 + -9 = -17 -17 + 6r + -4r = 0 Combine like terms: 6r + -4r = 2r -17 + 2r = 0 Solving -17 + 2r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 2r = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 2r = 0 + 17 2r = 0 + 17 Combine like terms: 0 + 17 = 17 2r = 17 Divide each side by '2'. r = 8.5 Simplifying r = 8.5
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