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Simplifying 12r + -14 = 5(2 + -1r) Reorder the terms: -14 + 12r = 5(2 + -1r) -14 + 12r = (2 * 5 + -1r * 5) -14 + 12r = (10 + -5r) Solving -14 + 12r = 10 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. -14 + 12r + 5r = 10 + -5r + 5r Combine like terms: 12r + 5r = 17r -14 + 17r = 10 + -5r + 5r Combine like terms: -5r + 5r = 0 -14 + 17r = 10 + 0 -14 + 17r = 10 Add '14' to each side of the equation. -14 + 14 + 17r = 10 + 14 Combine like terms: -14 + 14 = 0 0 + 17r = 10 + 14 17r = 10 + 14 Combine like terms: 10 + 14 = 24 17r = 24 Divide each side by '17'. r = 1.411764706 Simplifying r = 1.411764706
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