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Simplifying -37r + -1(23r + -29) = -37 + -11(21 + 3r) Reorder the terms: -37r + -1(-29 + 23r) = -37 + -11(21 + 3r) -37r + (-29 * -1 + 23r * -1) = -37 + -11(21 + 3r) -37r + (29 + -23r) = -37 + -11(21 + 3r) Reorder the terms: 29 + -37r + -23r = -37 + -11(21 + 3r) Combine like terms: -37r + -23r = -60r 29 + -60r = -37 + -11(21 + 3r) 29 + -60r = -37 + (21 * -11 + 3r * -11) 29 + -60r = -37 + (-231 + -33r) Combine like terms: -37 + -231 = -268 29 + -60r = -268 + -33r Solving 29 + -60r = -268 + -33r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '33r' to each side of the equation. 29 + -60r + 33r = -268 + -33r + 33r Combine like terms: -60r + 33r = -27r 29 + -27r = -268 + -33r + 33r Combine like terms: -33r + 33r = 0 29 + -27r = -268 + 0 29 + -27r = -268 Add '-29' to each side of the equation. 29 + -29 + -27r = -268 + -29 Combine like terms: 29 + -29 = 0 0 + -27r = -268 + -29 -27r = -268 + -29 Combine like terms: -268 + -29 = -297 -27r = -297 Divide each side by '-27'. r = 11 Simplifying r = 11
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