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Simplifying 41 = 11 + (8r + -6r) Combine like terms: 8r + -6r = 2r 41 = 11 + (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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