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Simplifying 10 + -3r = 12 + -5r Solving 10 + -3r = 12 + -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 = 12 + -5r + 5r Combine like terms: -3r + 5r = 2r 10 + 2r = 12 + -5r + 5r Combine like terms: -5r + 5r = 0 10 + 2r = 12 + 0 10 + 2r = 12 Add '-10' to each side of the equation. 10 + -10 + 2r = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 2r = 12 + -10 2r = 12 + -10 Combine like terms: 12 + -10 = 2 2r = 2 Divide each side by '2'. r = 1 Simplifying r = 1
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