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Simplifying 5r + 7 = 11r + 10 Reorder the terms: 7 + 5r = 11r + 10 Reorder the terms: 7 + 5r = 10 + 11r Solving 7 + 5r = 10 + 11r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-11r' to each side of the equation. 7 + 5r + -11r = 10 + 11r + -11r Combine like terms: 5r + -11r = -6r 7 + -6r = 10 + 11r + -11r Combine like terms: 11r + -11r = 0 7 + -6r = 10 + 0 7 + -6r = 10 Add '-7' to each side of the equation. 7 + -7 + -6r = 10 + -7 Combine like terms: 7 + -7 = 0 0 + -6r = 10 + -7 -6r = 10 + -7 Combine like terms: 10 + -7 = 3 -6r = 3 Divide each side by '-6'. r = -0.5 Simplifying r = -0.5
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