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