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Simplifying 7 + 6r + -6 = 8r + 9 + -6r Reorder the terms: 7 + -6 + 6r = 8r + 9 + -6r Combine like terms: 7 + -6 = 1 1 + 6r = 8r + 9 + -6r Reorder the terms: 1 + 6r = 9 + 8r + -6r Combine like terms: 8r + -6r = 2r 1 + 6r = 9 + 2r Solving 1 + 6r = 9 + 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 + 6r + -2r = 9 + 2r + -2r Combine like terms: 6r + -2r = 4r 1 + 4r = 9 + 2r + -2r Combine like terms: 2r + -2r = 0 1 + 4r = 9 + 0 1 + 4r = 9 Add '-1' to each side of the equation. 1 + -1 + 4r = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 4r = 9 + -1 4r = 9 + -1 Combine like terms: 9 + -1 = 8 4r = 8 Divide each side by '4'. r = 2 Simplifying r = 2
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