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Simplifying 42 + -2r = 165 + -3r Solving 42 + -2r = 165 + -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. 42 + -2r + 3r = 165 + -3r + 3r Combine like terms: -2r + 3r = 1r 42 + 1r = 165 + -3r + 3r Combine like terms: -3r + 3r = 0 42 + 1r = 165 + 0 42 + 1r = 165 Add '-42' to each side of the equation. 42 + -42 + 1r = 165 + -42 Combine like terms: 42 + -42 = 0 0 + 1r = 165 + -42 1r = 165 + -42 Combine like terms: 165 + -42 = 123 1r = 123 Divide each side by '1'. r = 123 Simplifying r = 123
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