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Simplifying 41 = 7r + 5 + -1r Reorder the terms: 41 = 5 + 7r + -1r Combine like terms: 7r + -1r = 6r 41 = 5 + 6r Solving 41 = 5 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 41 + -6r = 5 + 6r + -6r Combine like terms: 6r + -6r = 0 41 + -6r = 5 + 0 41 + -6r = 5 Add '-41' to each side of the equation. 41 + -41 + -6r = 5 + -41 Combine like terms: 41 + -41 = 0 0 + -6r = 5 + -41 -6r = 5 + -41 Combine like terms: 5 + -41 = -36 -6r = -36 Divide each side by '-6'. r = 6 Simplifying r = 6
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