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Simplifying 41 = 11 + (8r + 6r) Combine like terms: 8r + 6r = 14r 41 = 11 + (14r) 41 = 11 + (14r) Solving 41 = 11 + (14r) Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '(-14r)' to each side of the equation. 41 + (-14r) = 11 + (14r) + (-14r) Combine like terms: (14r) + (-14r) = 0 41 + (-14r) = 11 + 0 41 + (-14r) = 11 Add '-41' to each side of the equation. 41 + -41 + (-14r) = 11 + -41 Combine like terms: 41 + -41 = 0 0 + (-14r) = 11 + -41 (-14r) = 11 + -41 Combine like terms: 11 + -41 = -30 (-14r) = -30 Divide each side by '-14'. r = 2.142857143 Simplifying r = 2.142857143
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