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Simplifying 3 + 9r + -2 = 7r + 43 + -5r Reorder the terms: 3 + -2 + 9r = 7r + 43 + -5r Combine like terms: 3 + -2 = 1 1 + 9r = 7r + 43 + -5r Reorder the terms: 1 + 9r = 43 + 7r + -5r Combine like terms: 7r + -5r = 2r 1 + 9r = 43 + 2r Solving 1 + 9r = 43 + 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. 1 + 9r + -2r = 43 + 2r + -2r Combine like terms: 9r + -2r = 7r 1 + 7r = 43 + 2r + -2r Combine like terms: 2r + -2r = 0 1 + 7r = 43 + 0 1 + 7r = 43 Add '-1' to each side of the equation. 1 + -1 + 7r = 43 + -1 Combine like terms: 1 + -1 = 0 0 + 7r = 43 + -1 7r = 43 + -1 Combine like terms: 43 + -1 = 42 7r = 42 Divide each side by '7'. r = 6 Simplifying r = 6
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