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Simplifying -9 = 2r + -2 + 5r Reorder the terms: -9 = -2 + 2r + 5r Combine like terms: 2r + 5r = 7r -9 = -2 + 7r Solving -9 = -2 + 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. -9 + -7r = -2 + 7r + -7r Combine like terms: 7r + -7r = 0 -9 + -7r = -2 + 0 -9 + -7r = -2 Add '9' to each side of the equation. -9 + 9 + -7r = -2 + 9 Combine like terms: -9 + 9 = 0 0 + -7r = -2 + 9 -7r = -2 + 9 Combine like terms: -2 + 9 = 7 -7r = 7 Divide each side by '-7'. r = -1 Simplifying r = -1
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