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Simplifying 45 = 5r + 6r + -10 Reorder the terms: 45 = -10 + 5r + 6r Combine like terms: 5r + 6r = 11r 45 = -10 + 11r Solving 45 = -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. 45 + -11r = -10 + 11r + -11r Combine like terms: 11r + -11r = 0 45 + -11r = -10 + 0 45 + -11r = -10 Add '-45' to each side of the equation. 45 + -45 + -11r = -10 + -45 Combine like terms: 45 + -45 = 0 0 + -11r = -10 + -45 -11r = -10 + -45 Combine like terms: -10 + -45 = -55 -11r = -55 Divide each side by '-11'. r = 5 Simplifying r = 5
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