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Simplifying 46 = 5r + 11 Reorder the terms: 46 = 11 + 5r Solving 46 = 11 + 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. 46 + -5r = 11 + 5r + -5r Combine like terms: 5r + -5r = 0 46 + -5r = 11 + 0 46 + -5r = 11 Add '-46' to each side of the equation. 46 + -46 + -5r = 11 + -46 Combine like terms: 46 + -46 = 0 0 + -5r = 11 + -46 -5r = 11 + -46 Combine like terms: 11 + -46 = -35 -5r = -35 Divide each side by '-5'. r = 7 Simplifying r = 7
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