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Simplifying 9 + 9r + -3 = 7r + 10 + -2r Reorder the terms: 9 + -3 + 9r = 7r + 10 + -2r Combine like terms: 9 + -3 = 6 6 + 9r = 7r + 10 + -2r Reorder the terms: 6 + 9r = 10 + 7r + -2r Combine like terms: 7r + -2r = 5r 6 + 9r = 10 + 5r Solving 6 + 9r = 10 + 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. 6 + 9r + -5r = 10 + 5r + -5r Combine like terms: 9r + -5r = 4r 6 + 4r = 10 + 5r + -5r Combine like terms: 5r + -5r = 0 6 + 4r = 10 + 0 6 + 4r = 10 Add '-6' to each side of the equation. 6 + -6 + 4r = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 4r = 10 + -6 4r = 10 + -6 Combine like terms: 10 + -6 = 4 4r = 4 Divide each side by '4'. r = 1 Simplifying r = 1
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