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Simplifying (-3r + 8) + (5r + -1) = 0 Reorder the terms: (8 + -3r) + (5r + -1) = 0 Remove parenthesis around (8 + -3r) 8 + -3r + (5r + -1) = 0 Reorder the terms: 8 + -3r + (-1 + 5r) = 0 Remove parenthesis around (-1 + 5r) 8 + -3r + -1 + 5r = 0 Reorder the terms: 8 + -1 + -3r + 5r = 0 Combine like terms: 8 + -1 = 7 7 + -3r + 5r = 0 Combine like terms: -3r + 5r = 2r 7 + 2r = 0 Solving 7 + 2r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2r = 0 + -7 2r = 0 + -7 Combine like terms: 0 + -7 = -7 2r = -7 Divide each side by '2'. r = -3.5 Simplifying r = -3.5
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