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Simplifying 9 + 6r + -7 = 9r + 10 + -7r Reorder the terms: 9 + -7 + 6r = 9r + 10 + -7r Combine like terms: 9 + -7 = 2 2 + 6r = 9r + 10 + -7r Reorder the terms: 2 + 6r = 10 + 9r + -7r Combine like terms: 9r + -7r = 2r 2 + 6r = 10 + 2r Solving 2 + 6r = 10 + 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. 2 + 6r + -2r = 10 + 2r + -2r Combine like terms: 6r + -2r = 4r 2 + 4r = 10 + 2r + -2r Combine like terms: 2r + -2r = 0 2 + 4r = 10 + 0 2 + 4r = 10 Add '-2' to each side of the equation. 2 + -2 + 4r = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 4r = 10 + -2 4r = 10 + -2 Combine like terms: 10 + -2 = 8 4r = 8 Divide each side by '4'. r = 2 Simplifying r = 2
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