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Simplifying 8r + -2 = 8r + -9 + -1r Reorder the terms: -2 + 8r = 8r + -9 + -1r Reorder the terms: -2 + 8r = -9 + 8r + -1r Combine like terms: 8r + -1r = 7r -2 + 8r = -9 + 7r Solving -2 + 8r = -9 + 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. -2 + 8r + -7r = -9 + 7r + -7r Combine like terms: 8r + -7r = 1r -2 + 1r = -9 + 7r + -7r Combine like terms: 7r + -7r = 0 -2 + 1r = -9 + 0 -2 + 1r = -9 Add '2' to each side of the equation. -2 + 2 + 1r = -9 + 2 Combine like terms: -2 + 2 = 0 0 + 1r = -9 + 2 1r = -9 + 2 Combine like terms: -9 + 2 = -7 1r = -7 Divide each side by '1'. r = -7 Simplifying r = -7
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