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Simplifying 3(4r + 9) + 2(3r + 8) = r + -1(9r + -5) Reorder the terms: 3(9 + 4r) + 2(3r + 8) = r + -1(9r + -5) (9 * 3 + 4r * 3) + 2(3r + 8) = r + -1(9r + -5) (27 + 12r) + 2(3r + 8) = r + -1(9r + -5) Reorder the terms: 27 + 12r + 2(8 + 3r) = r + -1(9r + -5) 27 + 12r + (8 * 2 + 3r * 2) = r + -1(9r + -5) 27 + 12r + (16 + 6r) = r + -1(9r + -5) Reorder the terms: 27 + 16 + 12r + 6r = r + -1(9r + -5) Combine like terms: 27 + 16 = 43 43 + 12r + 6r = r + -1(9r + -5) Combine like terms: 12r + 6r = 18r 43 + 18r = r + -1(9r + -5) Reorder the terms: 43 + 18r = r + -1(-5 + 9r) 43 + 18r = r + (-5 * -1 + 9r * -1) 43 + 18r = r + (5 + -9r) Reorder the terms: 43 + 18r = 5 + r + -9r Combine like terms: r + -9r = -8r 43 + 18r = 5 + -8r Solving 43 + 18r = 5 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. 43 + 18r + 8r = 5 + -8r + 8r Combine like terms: 18r + 8r = 26r 43 + 26r = 5 + -8r + 8r Combine like terms: -8r + 8r = 0 43 + 26r = 5 + 0 43 + 26r = 5 Add '-43' to each side of the equation. 43 + -43 + 26r = 5 + -43 Combine like terms: 43 + -43 = 0 0 + 26r = 5 + -43 26r = 5 + -43 Combine like terms: 5 + -43 = -38 26r = -38 Divide each side by '26'. r = -1.461538462 Simplifying r = -1.461538462
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