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Simplifying 46 + -2r + 3r = 53 Combine like terms: -2r + 3r = 1r 46 + 1r = 53 Solving 46 + 1r = 53 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + 1r = 53 + -46 Combine like terms: 46 + -46 = 0 0 + 1r = 53 + -46 1r = 53 + -46 Combine like terms: 53 + -46 = 7 1r = 7 Divide each side by '1'. r = 7 Simplifying r = 7
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