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Simplifying 4 + -1r + 11 = 5r + -11 Reorder the terms: 4 + 11 + -1r = 5r + -11 Combine like terms: 4 + 11 = 15 15 + -1r = 5r + -11 Reorder the terms: 15 + -1r = -11 + 5r Solving 15 + -1r = -11 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. 15 + -1r + -5r = -11 + 5r + -5r Combine like terms: -1r + -5r = -6r 15 + -6r = -11 + 5r + -5r Combine like terms: 5r + -5r = 0 15 + -6r = -11 + 0 15 + -6r = -11 Add '-15' to each side of the equation. 15 + -15 + -6r = -11 + -15 Combine like terms: 15 + -15 = 0 0 + -6r = -11 + -15 -6r = -11 + -15 Combine like terms: -11 + -15 = -26 -6r = -26 Divide each side by '-6'. r = 4.333333333 Simplifying r = 4.333333333
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