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Simplifying 2(2 + -3r) = 5(r + -3) (2 * 2 + -3r * 2) = 5(r + -3) (4 + -6r) = 5(r + -3) Reorder the terms: 4 + -6r = 5(-3 + r) 4 + -6r = (-3 * 5 + r * 5) 4 + -6r = (-15 + 5r) Solving 4 + -6r = -15 + 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. 4 + -6r + -5r = -15 + 5r + -5r Combine like terms: -6r + -5r = -11r 4 + -11r = -15 + 5r + -5r Combine like terms: 5r + -5r = 0 4 + -11r = -15 + 0 4 + -11r = -15 Add '-4' to each side of the equation. 4 + -4 + -11r = -15 + -4 Combine like terms: 4 + -4 = 0 0 + -11r = -15 + -4 -11r = -15 + -4 Combine like terms: -15 + -4 = -19 -11r = -19 Divide each side by '-11'. r = 1.727272727 Simplifying r = 1.727272727
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