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Simplifying 11(r + 4) = 4(r + 10) Reorder the terms: 11(4 + r) = 4(r + 10) (4 * 11 + r * 11) = 4(r + 10) (44 + 11r) = 4(r + 10) Reorder the terms: 44 + 11r = 4(10 + r) 44 + 11r = (10 * 4 + r * 4) 44 + 11r = (40 + 4r) Solving 44 + 11r = 40 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 44 + 11r + -4r = 40 + 4r + -4r Combine like terms: 11r + -4r = 7r 44 + 7r = 40 + 4r + -4r Combine like terms: 4r + -4r = 0 44 + 7r = 40 + 0 44 + 7r = 40 Add '-44' to each side of the equation. 44 + -44 + 7r = 40 + -44 Combine like terms: 44 + -44 = 0 0 + 7r = 40 + -44 7r = 40 + -44 Combine like terms: 40 + -44 = -4 7r = -4 Divide each side by '7'. r = -0.5714285714 Simplifying r = -0.5714285714
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