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Simplifying 12(3r + -1) = 11(3r + 18) Reorder the terms: 12(-1 + 3r) = 11(3r + 18) (-1 * 12 + 3r * 12) = 11(3r + 18) (-12 + 36r) = 11(3r + 18) Reorder the terms: -12 + 36r = 11(18 + 3r) -12 + 36r = (18 * 11 + 3r * 11) -12 + 36r = (198 + 33r) Solving -12 + 36r = 198 + 33r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-33r' to each side of the equation. -12 + 36r + -33r = 198 + 33r + -33r Combine like terms: 36r + -33r = 3r -12 + 3r = 198 + 33r + -33r Combine like terms: 33r + -33r = 0 -12 + 3r = 198 + 0 -12 + 3r = 198 Add '12' to each side of the equation. -12 + 12 + 3r = 198 + 12 Combine like terms: -12 + 12 = 0 0 + 3r = 198 + 12 3r = 198 + 12 Combine like terms: 198 + 12 = 210 3r = 210 Divide each side by '3'. r = 70 Simplifying r = 70
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