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Simplifying 2(3r + 2) = -5(r + -3) Reorder the terms: 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 = 11 11r = 11 Divide each side by '11'. r = 1 Simplifying r = 1
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