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Simplifying 5r + -41 = 34 + -4r Reorder the terms: -41 + 5r = 34 + -4r Solving -41 + 5r = 34 + -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. -41 + 5r + 4r = 34 + -4r + 4r Combine like terms: 5r + 4r = 9r -41 + 9r = 34 + -4r + 4r Combine like terms: -4r + 4r = 0 -41 + 9r = 34 + 0 -41 + 9r = 34 Add '41' to each side of the equation. -41 + 41 + 9r = 34 + 41 Combine like terms: -41 + 41 = 0 0 + 9r = 34 + 41 9r = 34 + 41 Combine like terms: 34 + 41 = 75 9r = 75 Divide each side by '9'. r = 8.333333333 Simplifying r = 8.333333333
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