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Simplifying 7r + -2 = -11 + 8r Reorder the terms: -2 + 7r = -11 + 8r Solving -2 + 7r = -11 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. -2 + 7r + -8r = -11 + 8r + -8r Combine like terms: 7r + -8r = -1r -2 + -1r = -11 + 8r + -8r Combine like terms: 8r + -8r = 0 -2 + -1r = -11 + 0 -2 + -1r = -11 Add '2' to each side of the equation. -2 + 2 + -1r = -11 + 2 Combine like terms: -2 + 2 = 0 0 + -1r = -11 + 2 -1r = -11 + 2 Combine like terms: -11 + 2 = -9 -1r = -9 Divide each side by '-1'. r = 9 Simplifying r = 9
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