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Simplifying -11(r + -7) + -11(10r + 7) = 11r + 2r Reorder the terms: -11(-7 + r) + -11(10r + 7) = 11r + 2r (-7 * -11 + r * -11) + -11(10r + 7) = 11r + 2r (77 + -11r) + -11(10r + 7) = 11r + 2r Reorder the terms: 77 + -11r + -11(7 + 10r) = 11r + 2r 77 + -11r + (7 * -11 + 10r * -11) = 11r + 2r 77 + -11r + (-77 + -110r) = 11r + 2r Reorder the terms: 77 + -77 + -11r + -110r = 11r + 2r Combine like terms: 77 + -77 = 0 0 + -11r + -110r = 11r + 2r -11r + -110r = 11r + 2r Combine like terms: -11r + -110r = -121r -121r = 11r + 2r Combine like terms: 11r + 2r = 13r -121r = 13r Solving -121r = 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. -121r + -13r = 13r + -13r Combine like terms: -121r + -13r = -134r -134r = 13r + -13r Combine like terms: 13r + -13r = 0 -134r = 0 Divide each side by '-134'. r = 0 Simplifying r = 0
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