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Simplifying 2(9r + -12) = 12(2r + 5) Reorder the terms: 2(-12 + 9r) = 12(2r + 5) (-12 * 2 + 9r * 2) = 12(2r + 5) (-24 + 18r) = 12(2r + 5) Reorder the terms: -24 + 18r = 12(5 + 2r) -24 + 18r = (5 * 12 + 2r * 12) -24 + 18r = (60 + 24r) Solving -24 + 18r = 60 + 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. -24 + 18r + -24r = 60 + 24r + -24r Combine like terms: 18r + -24r = -6r -24 + -6r = 60 + 24r + -24r Combine like terms: 24r + -24r = 0 -24 + -6r = 60 + 0 -24 + -6r = 60 Add '24' to each side of the equation. -24 + 24 + -6r = 60 + 24 Combine like terms: -24 + 24 = 0 0 + -6r = 60 + 24 -6r = 60 + 24 Combine like terms: 60 + 24 = 84 -6r = 84 Divide each side by '-6'. r = -14 Simplifying r = -14
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