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