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Simplifying 12(r + 13) = 2(r + 5) + -3r Reorder the terms: 12(13 + r) = 2(r + 5) + -3r (13 * 12 + r * 12) = 2(r + 5) + -3r (156 + 12r) = 2(r + 5) + -3r Reorder the terms: 156 + 12r = 2(5 + r) + -3r 156 + 12r = (5 * 2 + r * 2) + -3r 156 + 12r = (10 + 2r) + -3r Combine like terms: 2r + -3r = -1r 156 + 12r = 10 + -1r Solving 156 + 12r = 10 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. 156 + 12r + r = 10 + -1r + r Combine like terms: 12r + r = 13r 156 + 13r = 10 + -1r + r Combine like terms: -1r + r = 0 156 + 13r = 10 + 0 156 + 13r = 10 Add '-156' to each side of the equation. 156 + -156 + 13r = 10 + -156 Combine like terms: 156 + -156 = 0 0 + 13r = 10 + -156 13r = 10 + -156 Combine like terms: 10 + -156 = -146 13r = -146 Divide each side by '13'. r = -11.23076923 Simplifying r = -11.23076923
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