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Simplifying (-3r + 8) = (5r + -1) Reorder the terms: (8 + -3r) = (5r + -1) Remove parenthesis around (8 + -3r) 8 + -3r = (5r + -1) Reorder the terms: 8 + -3r = (-1 + 5r) Remove parenthesis around (-1 + 5r) 8 + -3r = -1 + 5r Solving 8 + -3r = -1 + 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 + -3r + -5r = -1 + 5r + -5r Combine like terms: -3r + -5r = -8r 8 + -8r = -1 + 5r + -5r Combine like terms: 5r + -5r = 0 8 + -8r = -1 + 0 8 + -8r = -1 Add '-8' to each side of the equation. 8 + -8 + -8r = -1 + -8 Combine like terms: 8 + -8 = 0 0 + -8r = -1 + -8 -8r = -1 + -8 Combine like terms: -1 + -8 = -9 -8r = -9 Divide each side by '-8'. r = 1.125 Simplifying r = 1.125
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