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Simplifying 19(3r + 18) = 12(5r + -1) Reorder the terms: 19(18 + 3r) = 12(5r + -1) (18 * 19 + 3r * 19) = 12(5r + -1) (342 + 57r) = 12(5r + -1) Reorder the terms: 342 + 57r = 12(-1 + 5r) 342 + 57r = (-1 * 12 + 5r * 12) 342 + 57r = (-12 + 60r) Solving 342 + 57r = -12 + 60r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-60r' to each side of the equation. 342 + 57r + -60r = -12 + 60r + -60r Combine like terms: 57r + -60r = -3r 342 + -3r = -12 + 60r + -60r Combine like terms: 60r + -60r = 0 342 + -3r = -12 + 0 342 + -3r = -12 Add '-342' to each side of the equation. 342 + -342 + -3r = -12 + -342 Combine like terms: 342 + -342 = 0 0 + -3r = -12 + -342 -3r = -12 + -342 Combine like terms: -12 + -342 = -354 -3r = -354 Divide each side by '-3'. r = 118 Simplifying r = 118
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