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Simplifying 1 + -7r = -11 + -9r Solving 1 + -7r = -11 + -9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '9r' to each side of the equation. 1 + -7r + 9r = -11 + -9r + 9r Combine like terms: -7r + 9r = 2r 1 + 2r = -11 + -9r + 9r Combine like terms: -9r + 9r = 0 1 + 2r = -11 + 0 1 + 2r = -11 Add '-1' to each side of the equation. 1 + -1 + 2r = -11 + -1 Combine like terms: 1 + -1 = 0 0 + 2r = -11 + -1 2r = -11 + -1 Combine like terms: -11 + -1 = -12 2r = -12 Divide each side by '2'. r = -6 Simplifying r = -6
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