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Simplifying 11r + 16 = 5r + 40 Reorder the terms: 16 + 11r = 5r + 40 Reorder the terms: 16 + 11r = 40 + 5r Solving 16 + 11r = 40 + 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. 16 + 11r + -5r = 40 + 5r + -5r Combine like terms: 11r + -5r = 6r 16 + 6r = 40 + 5r + -5r Combine like terms: 5r + -5r = 0 16 + 6r = 40 + 0 16 + 6r = 40 Add '-16' to each side of the equation. 16 + -16 + 6r = 40 + -16 Combine like terms: 16 + -16 = 0 0 + 6r = 40 + -16 6r = 40 + -16 Combine like terms: 40 + -16 = 24 6r = 24 Divide each side by '6'. r = 4 Simplifying r = 4
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