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Simplifying -2 + -5(r + -2) = -3(1 + -2r) Reorder the terms: -2 + -5(-2 + r) = -3(1 + -2r) -2 + (-2 * -5 + r * -5) = -3(1 + -2r) -2 + (10 + -5r) = -3(1 + -2r) Combine like terms: -2 + 10 = 8 8 + -5r = -3(1 + -2r) 8 + -5r = (1 * -3 + -2r * -3) 8 + -5r = (-3 + 6r) Solving 8 + -5r = -3 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 8 + -5r + -6r = -3 + 6r + -6r Combine like terms: -5r + -6r = -11r 8 + -11r = -3 + 6r + -6r Combine like terms: 6r + -6r = 0 8 + -11r = -3 + 0 8 + -11r = -3 Add '-8' to each side of the equation. 8 + -8 + -11r = -3 + -8 Combine like terms: 8 + -8 = 0 0 + -11r = -3 + -8 -11r = -3 + -8 Combine like terms: -3 + -8 = -11 -11r = -11 Divide each side by '-11'. r = 1 Simplifying r = 1
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