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Simplifying 3(2 + -3r) + 2 = 2(5 + -1r) (2 * 3 + -3r * 3) + 2 = 2(5 + -1r) (6 + -9r) + 2 = 2(5 + -1r) Reorder the terms: 6 + 2 + -9r = 2(5 + -1r) Combine like terms: 6 + 2 = 8 8 + -9r = 2(5 + -1r) 8 + -9r = (5 * 2 + -1r * 2) 8 + -9r = (10 + -2r) Solving 8 + -9r = 10 + -2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2r' to each side of the equation. 8 + -9r + 2r = 10 + -2r + 2r Combine like terms: -9r + 2r = -7r 8 + -7r = 10 + -2r + 2r Combine like terms: -2r + 2r = 0 8 + -7r = 10 + 0 8 + -7r = 10 Add '-8' to each side of the equation. 8 + -8 + -7r = 10 + -8 Combine like terms: 8 + -8 = 0 0 + -7r = 10 + -8 -7r = 10 + -8 Combine like terms: 10 + -8 = 2 -7r = 2 Divide each side by '-7'. r = -0.2857142857 Simplifying r = -0.2857142857
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