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