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Simplifying 3(4r + 9) + -2(r + -4) = 0 Reorder the terms: 3(9 + 4r) + -2(r + -4) = 0 (9 * 3 + 4r * 3) + -2(r + -4) = 0 (27 + 12r) + -2(r + -4) = 0 Reorder the terms: 27 + 12r + -2(-4 + r) = 0 27 + 12r + (-4 * -2 + r * -2) = 0 27 + 12r + (8 + -2r) = 0 Reorder the terms: 27 + 8 + 12r + -2r = 0 Combine like terms: 27 + 8 = 35 35 + 12r + -2r = 0 Combine like terms: 12r + -2r = 10r 35 + 10r = 0 Solving 35 + 10r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 10r = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 10r = 0 + -35 10r = 0 + -35 Combine like terms: 0 + -35 = -35 10r = -35 Divide each side by '10'. r = -3.5 Simplifying r = -3.5
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