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Simplifying -5r + 7 = -11 + -7r Reorder the terms: 7 + -5r = -11 + -7r Solving 7 + -5r = -11 + -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. 7 + -5r + 7r = -11 + -7r + 7r Combine like terms: -5r + 7r = 2r 7 + 2r = -11 + -7r + 7r Combine like terms: -7r + 7r = 0 7 + 2r = -11 + 0 7 + 2r = -11 Add '-7' to each side of the equation. 7 + -7 + 2r = -11 + -7 Combine like terms: 7 + -7 = 0 0 + 2r = -11 + -7 2r = -11 + -7 Combine like terms: -11 + -7 = -18 2r = -18 Divide each side by '2'. r = -9 Simplifying r = -9
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