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Simplifying 11r + 10 = -7r + -19 + -11r Reorder the terms: 10 + 11r = -7r + -19 + -11r Reorder the terms: 10 + 11r = -19 + -7r + -11r Combine like terms: -7r + -11r = -18r 10 + 11r = -19 + -18r Solving 10 + 11r = -19 + -18r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '18r' to each side of the equation. 10 + 11r + 18r = -19 + -18r + 18r Combine like terms: 11r + 18r = 29r 10 + 29r = -19 + -18r + 18r Combine like terms: -18r + 18r = 0 10 + 29r = -19 + 0 10 + 29r = -19 Add '-10' to each side of the equation. 10 + -10 + 29r = -19 + -10 Combine like terms: 10 + -10 = 0 0 + 29r = -19 + -10 29r = -19 + -10 Combine like terms: -19 + -10 = -29 29r = -29 Divide each side by '29'. r = -1 Simplifying r = -1
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