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Simplifying r + 8 = 3(1 + -1r) + 2 Reorder the terms: 8 + r = 3(1 + -1r) + 2 8 + r = (1 * 3 + -1r * 3) + 2 8 + r = (3 + -3r) + 2 Reorder the terms: 8 + r = 3 + 2 + -3r Combine like terms: 3 + 2 = 5 8 + r = 5 + -3r Solving 8 + r = 5 + -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. 8 + r + 3r = 5 + -3r + 3r Combine like terms: r + 3r = 4r 8 + 4r = 5 + -3r + 3r Combine like terms: -3r + 3r = 0 8 + 4r = 5 + 0 8 + 4r = 5 Add '-8' to each side of the equation. 8 + -8 + 4r = 5 + -8 Combine like terms: 8 + -8 = 0 0 + 4r = 5 + -8 4r = 5 + -8 Combine like terms: 5 + -8 = -3 4r = -3 Divide each side by '4'. r = -0.75 Simplifying r = -0.75
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