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