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Simplifying 3(2r + 1) + 5 = 5(r + 1) Reorder the terms: 3(1 + 2r) + 5 = 5(r + 1) (1 * 3 + 2r * 3) + 5 = 5(r + 1) (3 + 6r) + 5 = 5(r + 1) Reorder the terms: 3 + 5 + 6r = 5(r + 1) Combine like terms: 3 + 5 = 8 8 + 6r = 5(r + 1) Reorder the terms: 8 + 6r = 5(1 + r) 8 + 6r = (1 * 5 + r * 5) 8 + 6r = (5 + 5r) Solving 8 + 6r = 5 + 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. 8 + 6r + -5r = 5 + 5r + -5r Combine like terms: 6r + -5r = 1r 8 + 1r = 5 + 5r + -5r Combine like terms: 5r + -5r = 0 8 + 1r = 5 + 0 8 + 1r = 5 Add '-8' to each side of the equation. 8 + -8 + 1r = 5 + -8 Combine like terms: 8 + -8 = 0 0 + 1r = 5 + -8 1r = 5 + -8 Combine like terms: 5 + -8 = -3 1r = -3 Divide each side by '1'. r = -3 Simplifying r = -3
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