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Simplifying 12(7r + 13) = -2(3r + 12) Reorder the terms: 12(13 + 7r) = -2(3r + 12) (13 * 12 + 7r * 12) = -2(3r + 12) (156 + 84r) = -2(3r + 12) Reorder the terms: 156 + 84r = -2(12 + 3r) 156 + 84r = (12 * -2 + 3r * -2) 156 + 84r = (-24 + -6r) Solving 156 + 84r = -24 + -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. 156 + 84r + 6r = -24 + -6r + 6r Combine like terms: 84r + 6r = 90r 156 + 90r = -24 + -6r + 6r Combine like terms: -6r + 6r = 0 156 + 90r = -24 + 0 156 + 90r = -24 Add '-156' to each side of the equation. 156 + -156 + 90r = -24 + -156 Combine like terms: 156 + -156 = 0 0 + 90r = -24 + -156 90r = -24 + -156 Combine like terms: -24 + -156 = -180 90r = -180 Divide each side by '90'. r = -2 Simplifying r = -2
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