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Simplifying -11r + 11(6r + 4) = 44 + 10r Reorder the terms: -11r + 11(4 + 6r) = 44 + 10r -11r + (4 * 11 + 6r * 11) = 44 + 10r -11r + (44 + 66r) = 44 + 10r Reorder the terms: 44 + -11r + 66r = 44 + 10r Combine like terms: -11r + 66r = 55r 44 + 55r = 44 + 10r Add '-44' to each side of the equation. 44 + -44 + 55r = 44 + -44 + 10r Combine like terms: 44 + -44 = 0 0 + 55r = 44 + -44 + 10r 55r = 44 + -44 + 10r Combine like terms: 44 + -44 = 0 55r = 0 + 10r 55r = 10r Solving 55r = 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. 55r + -10r = 10r + -10r Combine like terms: 55r + -10r = 45r 45r = 10r + -10r Combine like terms: 10r + -10r = 0 45r = 0 Divide each side by '45'. r = 0 Simplifying r = 0
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