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Simplifying 41 = 11 + 8r + -6r Combine like terms: 8r + -6r = 2r 41 = 11 + 2r Solving 41 = 11 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 41 + -2r = 11 + 2r + -2r Combine like terms: 2r + -2r = 0 41 + -2r = 11 + 0 41 + -2r = 11 Add '-41' to each side of the equation. 41 + -41 + -2r = 11 + -41 Combine like terms: 41 + -41 = 0 0 + -2r = 11 + -41 -2r = 11 + -41 Combine like terms: 11 + -41 = -30 -2r = -30 Divide each side by '-2'. r = 15 Simplifying r = 15
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