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Simplifying 3(r + 1) + -1[2(3 + -2r)] = 2(r + 5) + -4 Reorder the terms: 3(1 + r) + -1[2(3 + -2r)] = 2(r + 5) + -4 (1 * 3 + r * 3) + -1[2(3 + -2r)] = 2(r + 5) + -4 (3 + 3r) + -1[2(3 + -2r)] = 2(r + 5) + -4 3 + 3r + -1[(3 * 2 + -2r * 2)] = 2(r + 5) + -4 3 + 3r + -1[(6 + -4r)] = 2(r + 5) + -4 3 + 3r + [6 * -1 + -4r * -1] = 2(r + 5) + -4 3 + 3r + [-6 + 4r] = 2(r + 5) + -4 Reorder the terms: 3 + -6 + 3r + 4r = 2(r + 5) + -4 Combine like terms: 3 + -6 = -3 -3 + 3r + 4r = 2(r + 5) + -4 Combine like terms: 3r + 4r = 7r -3 + 7r = 2(r + 5) + -4 Reorder the terms: -3 + 7r = 2(5 + r) + -4 -3 + 7r = (5 * 2 + r * 2) + -4 -3 + 7r = (10 + 2r) + -4 Reorder the terms: -3 + 7r = 10 + -4 + 2r Combine like terms: 10 + -4 = 6 -3 + 7r = 6 + 2r Solving -3 + 7r = 6 + 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. -3 + 7r + -2r = 6 + 2r + -2r Combine like terms: 7r + -2r = 5r -3 + 5r = 6 + 2r + -2r Combine like terms: 2r + -2r = 0 -3 + 5r = 6 + 0 -3 + 5r = 6 Add '3' to each side of the equation. -3 + 3 + 5r = 6 + 3 Combine like terms: -3 + 3 = 0 0 + 5r = 6 + 3 5r = 6 + 3 Combine like terms: 6 + 3 = 9 5r = 9 Divide each side by '5'. r = 1.8 Simplifying r = 1.8
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