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