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Simplifying 6r + 5 = 5(r + 2) + -2r Reorder the terms: 5 + 6r = 5(r + 2) + -2r Reorder the terms: 5 + 6r = 5(2 + r) + -2r 5 + 6r = (2 * 5 + r * 5) + -2r 5 + 6r = (10 + 5r) + -2r Combine like terms: 5r + -2r = 3r 5 + 6r = 10 + 3r Solving 5 + 6r = 10 + 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. 5 + 6r + -3r = 10 + 3r + -3r Combine like terms: 6r + -3r = 3r 5 + 3r = 10 + 3r + -3r Combine like terms: 3r + -3r = 0 5 + 3r = 10 + 0 5 + 3r = 10 Add '-5' to each side of the equation. 5 + -5 + 3r = 10 + -5 Combine like terms: 5 + -5 = 0 0 + 3r = 10 + -5 3r = 10 + -5 Combine like terms: 10 + -5 = 5 3r = 5 Divide each side by '3'. r = 1.666666667 Simplifying r = 1.666666667
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