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Simplifying -1(-3 + 4r) + -3r = -2(6 + 5r) (-3 * -1 + 4r * -1) + -3r = -2(6 + 5r) (3 + -4r) + -3r = -2(6 + 5r) Combine like terms: -4r + -3r = -7r 3 + -7r = -2(6 + 5r) 3 + -7r = (6 * -2 + 5r * -2) 3 + -7r = (-12 + -10r) Solving 3 + -7r = -12 + -10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '10r' to each side of the equation. 3 + -7r + 10r = -12 + -10r + 10r Combine like terms: -7r + 10r = 3r 3 + 3r = -12 + -10r + 10r Combine like terms: -10r + 10r = 0 3 + 3r = -12 + 0 3 + 3r = -12 Add '-3' to each side of the equation. 3 + -3 + 3r = -12 + -3 Combine like terms: 3 + -3 = 0 0 + 3r = -12 + -3 3r = -12 + -3 Combine like terms: -12 + -3 = -15 3r = -15 Divide each side by '3'. r = -5 Simplifying r = -5
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