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Simplifying -11(1 + -10r) = -7r + -1(6r + 11) (1 * -11 + -10r * -11) = -7r + -1(6r + 11) (-11 + 110r) = -7r + -1(6r + 11) Reorder the terms: -11 + 110r = -7r + -1(11 + 6r) -11 + 110r = -7r + (11 * -1 + 6r * -1) -11 + 110r = -7r + (-11 + -6r) Reorder the terms: -11 + 110r = -11 + -7r + -6r Combine like terms: -7r + -6r = -13r -11 + 110r = -11 + -13r Add '11' to each side of the equation. -11 + 11 + 110r = -11 + 11 + -13r Combine like terms: -11 + 11 = 0 0 + 110r = -11 + 11 + -13r 110r = -11 + 11 + -13r Combine like terms: -11 + 11 = 0 110r = 0 + -13r 110r = -13r Solving 110r = -13r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '13r' to each side of the equation. 110r + 13r = -13r + 13r Combine like terms: 110r + 13r = 123r 123r = -13r + 13r Combine like terms: -13r + 13r = 0 123r = 0 Divide each side by '123'. r = 0 Simplifying r = 0
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