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Simplifying -2(9r + 8) + 5(-1r + 1) = 0 Reorder the terms: -2(8 + 9r) + 5(-1r + 1) = 0 (8 * -2 + 9r * -2) + 5(-1r + 1) = 0 (-16 + -18r) + 5(-1r + 1) = 0 Reorder the terms: -16 + -18r + 5(1 + -1r) = 0 -16 + -18r + (1 * 5 + -1r * 5) = 0 -16 + -18r + (5 + -5r) = 0 Reorder the terms: -16 + 5 + -18r + -5r = 0 Combine like terms: -16 + 5 = -11 -11 + -18r + -5r = 0 Combine like terms: -18r + -5r = -23r -11 + -23r = 0 Solving -11 + -23r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -23r = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -23r = 0 + 11 -23r = 0 + 11 Combine like terms: 0 + 11 = 11 -23r = 11 Divide each side by '-23'. r = -0.4782608696 Simplifying r = -0.4782608696
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