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Simplifying -2(3r + 4) + 9(2r + -11) = 0 Reorder the terms: -2(4 + 3r) + 9(2r + -11) = 0 (4 * -2 + 3r * -2) + 9(2r + -11) = 0 (-8 + -6r) + 9(2r + -11) = 0 Reorder the terms: -8 + -6r + 9(-11 + 2r) = 0 -8 + -6r + (-11 * 9 + 2r * 9) = 0 -8 + -6r + (-99 + 18r) = 0 Reorder the terms: -8 + -99 + -6r + 18r = 0 Combine like terms: -8 + -99 = -107 -107 + -6r + 18r = 0 Combine like terms: -6r + 18r = 12r -107 + 12r = 0 Solving -107 + 12r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '107' to each side of the equation. -107 + 107 + 12r = 0 + 107 Combine like terms: -107 + 107 = 0 0 + 12r = 0 + 107 12r = 0 + 107 Combine like terms: 0 + 107 = 107 12r = 107 Divide each side by '12'. r = 8.916666667 Simplifying r = 8.916666667
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