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Simplifying 11(r + 10) = 11(1 + 10r) Reorder the terms: 11(10 + r) = 11(1 + 10r) (10 * 11 + r * 11) = 11(1 + 10r) (110 + 11r) = 11(1 + 10r) 110 + 11r = (1 * 11 + 10r * 11) 110 + 11r = (11 + 110r) Solving 110 + 11r = 11 + 110r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-110r' to each side of the equation. 110 + 11r + -110r = 11 + 110r + -110r Combine like terms: 11r + -110r = -99r 110 + -99r = 11 + 110r + -110r Combine like terms: 110r + -110r = 0 110 + -99r = 11 + 0 110 + -99r = 11 Add '-110' to each side of the equation. 110 + -110 + -99r = 11 + -110 Combine like terms: 110 + -110 = 0 0 + -99r = 11 + -110 -99r = 11 + -110 Combine like terms: 11 + -110 = -99 -99r = -99 Divide each side by '-99'. r = 1 Simplifying r = 1
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