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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 = -121r -110 + -121r = 11 + 110r + -110r Combine like terms: 110r + -110r = 0 -110 + -121r = 11 + 0 -110 + -121r = 11 Add '110' to each side of the equation. -110 + 110 + -121r = 11 + 110 Combine like terms: -110 + 110 = 0 0 + -121r = 11 + 110 -121r = 11 + 110 Combine like terms: 11 + 110 = 121 -121r = 121 Divide each side by '-121'. r = -1 Simplifying r = -1
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