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Simplifying -3r + 10 = 5r + -8 Reorder the terms: 10 + -3r = 5r + -8 Reorder the terms: 10 + -3r = -8 + 5r Solving 10 + -3r = -8 + 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. 10 + -3r + -5r = -8 + 5r + -5r Combine like terms: -3r + -5r = -8r 10 + -8r = -8 + 5r + -5r Combine like terms: 5r + -5r = 0 10 + -8r = -8 + 0 10 + -8r = -8 Add '-10' to each side of the equation. 10 + -10 + -8r = -8 + -10 Combine like terms: 10 + -10 = 0 0 + -8r = -8 + -10 -8r = -8 + -10 Combine like terms: -8 + -10 = -18 -8r = -18 Divide each side by '-8'. r = 2.25 Simplifying r = 2.25
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