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Simplifying 4 + 9r = 2r + 46 Reorder the terms: 4 + 9r = 46 + 2r Solving 4 + 9r = 46 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 4 + 9r + -2r = 46 + 2r + -2r Combine like terms: 9r + -2r = 7r 4 + 7r = 46 + 2r + -2r Combine like terms: 2r + -2r = 0 4 + 7r = 46 + 0 4 + 7r = 46 Add '-4' to each side of the equation. 4 + -4 + 7r = 46 + -4 Combine like terms: 4 + -4 = 0 0 + 7r = 46 + -4 7r = 46 + -4 Combine like terms: 46 + -4 = 42 7r = 42 Divide each side by '7'. r = 6 Simplifying r = 6
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