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Simplifying -5(r + -3) + -2(2r + 1) = -8 Reorder the terms: -5(-3 + r) + -2(2r + 1) = -8 (-3 * -5 + r * -5) + -2(2r + 1) = -8 (15 + -5r) + -2(2r + 1) = -8 Reorder the terms: 15 + -5r + -2(1 + 2r) = -8 15 + -5r + (1 * -2 + 2r * -2) = -8 15 + -5r + (-2 + -4r) = -8 Reorder the terms: 15 + -2 + -5r + -4r = -8 Combine like terms: 15 + -2 = 13 13 + -5r + -4r = -8 Combine like terms: -5r + -4r = -9r 13 + -9r = -8 Solving 13 + -9r = -8 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -9r = -8 + -13 Combine like terms: 13 + -13 = 0 0 + -9r = -8 + -13 -9r = -8 + -13 Combine like terms: -8 + -13 = -21 -9r = -21 Divide each side by '-9'. r = 2.333333333 Simplifying r = 2.333333333
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