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Simplifying -2(-3r + -6) = -3(r + -1) Reorder the terms: -2(-6 + -3r) = -3(r + -1) (-6 * -2 + -3r * -2) = -3(r + -1) (12 + 6r) = -3(r + -1) Reorder the terms: 12 + 6r = -3(-1 + r) 12 + 6r = (-1 * -3 + r * -3) 12 + 6r = (3 + -3r) Solving 12 + 6r = 3 + -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. 12 + 6r + 3r = 3 + -3r + 3r Combine like terms: 6r + 3r = 9r 12 + 9r = 3 + -3r + 3r Combine like terms: -3r + 3r = 0 12 + 9r = 3 + 0 12 + 9r = 3 Add '-12' to each side of the equation. 12 + -12 + 9r = 3 + -12 Combine like terms: 12 + -12 = 0 0 + 9r = 3 + -12 9r = 3 + -12 Combine like terms: 3 + -12 = -9 9r = -9 Divide each side by '9'. r = -1 Simplifying r = -1
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