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Simplifying 5(3 + -1r) + 2 = 3(r + 2) (3 * 5 + -1r * 5) + 2 = 3(r + 2) (15 + -5r) + 2 = 3(r + 2) Reorder the terms: 15 + 2 + -5r = 3(r + 2) Combine like terms: 15 + 2 = 17 17 + -5r = 3(r + 2) Reorder the terms: 17 + -5r = 3(2 + r) 17 + -5r = (2 * 3 + r * 3) 17 + -5r = (6 + 3r) Solving 17 + -5r = 6 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 17 + -5r + -3r = 6 + 3r + -3r Combine like terms: -5r + -3r = -8r 17 + -8r = 6 + 3r + -3r Combine like terms: 3r + -3r = 0 17 + -8r = 6 + 0 17 + -8r = 6 Add '-17' to each side of the equation. 17 + -17 + -8r = 6 + -17 Combine like terms: 17 + -17 = 0 0 + -8r = 6 + -17 -8r = 6 + -17 Combine like terms: 6 + -17 = -11 -8r = -11 Divide each side by '-8'. r = 1.375 Simplifying r = 1.375
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