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Simplifying 7(3r + 18) = 12(2r + -1) Reorder the terms: 7(18 + 3r) = 12(2r + -1) (18 * 7 + 3r * 7) = 12(2r + -1) (126 + 21r) = 12(2r + -1) Reorder the terms: 126 + 21r = 12(-1 + 2r) 126 + 21r = (-1 * 12 + 2r * 12) 126 + 21r = (-12 + 24r) Solving 126 + 21r = -12 + 24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-24r' to each side of the equation. 126 + 21r + -24r = -12 + 24r + -24r Combine like terms: 21r + -24r = -3r 126 + -3r = -12 + 24r + -24r Combine like terms: 24r + -24r = 0 126 + -3r = -12 + 0 126 + -3r = -12 Add '-126' to each side of the equation. 126 + -126 + -3r = -12 + -126 Combine like terms: 126 + -126 = 0 0 + -3r = -12 + -126 -3r = -12 + -126 Combine like terms: -12 + -126 = -138 -3r = -138 Divide each side by '-3'. r = 46 Simplifying r = 46
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