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Simplifying 41 = 11 + 6r + -5r Combine like terms: 6r + -5r = 1r 41 = 11 + 1r Solving 41 = 11 + 1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 41 + -1r = 11 + 1r + -1r Combine like terms: 1r + -1r = 0 41 + -1r = 11 + 0 41 + -1r = 11 Add '-41' to each side of the equation. 41 + -41 + -1r = 11 + -41 Combine like terms: 41 + -41 = 0 0 + -1r = 11 + -41 -1r = 11 + -41 Combine like terms: 11 + -41 = -30 -1r = -30 Divide each side by '-1'. r = 30 Simplifying r = 30
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