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Simplifying 2r + -9 = 1 + 7r Reorder the terms: -9 + 2r = 1 + 7r Solving -9 + 2r = 1 + 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 + 2r + -7r = 1 + 7r + -7r Combine like terms: 2r + -7r = -5r -9 + -5r = 1 + 7r + -7r Combine like terms: 7r + -7r = 0 -9 + -5r = 1 + 0 -9 + -5r = 1 Add '9' to each side of the equation. -9 + 9 + -5r = 1 + 9 Combine like terms: -9 + 9 = 0 0 + -5r = 1 + 9 -5r = 1 + 9 Combine like terms: 1 + 9 = 10 -5r = 10 Divide each side by '-5'. r = -2 Simplifying r = -2
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