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Simplifying 4 + 6r + -3 = 8r + 10 + -5r Reorder the terms: 4 + -3 + 6r = 8r + 10 + -5r Combine like terms: 4 + -3 = 1 1 + 6r = 8r + 10 + -5r Reorder the terms: 1 + 6r = 10 + 8r + -5r Combine like terms: 8r + -5r = 3r 1 + 6r = 10 + 3r Solving 1 + 6r = 10 + 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. 1 + 6r + -3r = 10 + 3r + -3r Combine like terms: 6r + -3r = 3r 1 + 3r = 10 + 3r + -3r Combine like terms: 3r + -3r = 0 1 + 3r = 10 + 0 1 + 3r = 10 Add '-1' to each side of the equation. 1 + -1 + 3r = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 3r = 10 + -1 3r = 10 + -1 Combine like terms: 10 + -1 = 9 3r = 9 Divide each side by '3'. r = 3 Simplifying r = 3
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