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Simplifying 7 + 2r + -6 = 9r + 6 + -6r Reorder the terms: 7 + -6 + 2r = 9r + 6 + -6r Combine like terms: 7 + -6 = 1 1 + 2r = 9r + 6 + -6r Reorder the terms: 1 + 2r = 6 + 9r + -6r Combine like terms: 9r + -6r = 3r 1 + 2r = 6 + 3r Solving 1 + 2r = 6 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 1 + 2r + -3r = 6 + 3r + -3r Combine like terms: 2r + -3r = -1r 1 + -1r = 6 + 3r + -3r Combine like terms: 3r + -3r = 0 1 + -1r = 6 + 0 1 + -1r = 6 Add '-1' to each side of the equation. 1 + -1 + -1r = 6 + -1 Combine like terms: 1 + -1 = 0 0 + -1r = 6 + -1 -1r = 6 + -1 Combine like terms: 6 + -1 = 5 -1r = 5 Divide each side by '-1'. r = -5 Simplifying r = -5
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