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Simplifying -3(2r + -13) = 5r + -27 Reorder the terms: -3(-13 + 2r) = 5r + -27 (-13 * -3 + 2r * -3) = 5r + -27 (39 + -6r) = 5r + -27 Reorder the terms: 39 + -6r = -27 + 5r Solving 39 + -6r = -27 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. 39 + -6r + -5r = -27 + 5r + -5r Combine like terms: -6r + -5r = -11r 39 + -11r = -27 + 5r + -5r Combine like terms: 5r + -5r = 0 39 + -11r = -27 + 0 39 + -11r = -27 Add '-39' to each side of the equation. 39 + -39 + -11r = -27 + -39 Combine like terms: 39 + -39 = 0 0 + -11r = -27 + -39 -11r = -27 + -39 Combine like terms: -27 + -39 = -66 -11r = -66 Divide each side by '-11'. r = 6 Simplifying r = 6
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