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Simplifying 9(r + -1) = 5r + 11 Reorder the terms: 9(-1 + r) = 5r + 11 (-1 * 9 + r * 9) = 5r + 11 (-9 + 9r) = 5r + 11 Reorder the terms: -9 + 9r = 11 + 5r Solving -9 + 9r = 11 + 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. -9 + 9r + -5r = 11 + 5r + -5r Combine like terms: 9r + -5r = 4r -9 + 4r = 11 + 5r + -5r Combine like terms: 5r + -5r = 0 -9 + 4r = 11 + 0 -9 + 4r = 11 Add '9' to each side of the equation. -9 + 9 + 4r = 11 + 9 Combine like terms: -9 + 9 = 0 0 + 4r = 11 + 9 4r = 11 + 9 Combine like terms: 11 + 9 = 20 4r = 20 Divide each side by '4'. r = 5 Simplifying r = 5
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