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Simplifying 4r + 11 = -43 + -5r Reorder the terms: 11 + 4r = -43 + -5r Solving 11 + 4r = -43 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. 11 + 4r + 5r = -43 + -5r + 5r Combine like terms: 4r + 5r = 9r 11 + 9r = -43 + -5r + 5r Combine like terms: -5r + 5r = 0 11 + 9r = -43 + 0 11 + 9r = -43 Add '-11' to each side of the equation. 11 + -11 + 9r = -43 + -11 Combine like terms: 11 + -11 = 0 0 + 9r = -43 + -11 9r = -43 + -11 Combine like terms: -43 + -11 = -54 9r = -54 Divide each side by '9'. r = -6 Simplifying r = -6
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