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Simplifying -14r + -11(4 + 10r) = -13r + 67 -14r + (4 * -11 + 10r * -11) = -13r + 67 -14r + (-44 + -110r) = -13r + 67 Reorder the terms: -44 + -14r + -110r = -13r + 67 Combine like terms: -14r + -110r = -124r -44 + -124r = -13r + 67 Reorder the terms: -44 + -124r = 67 + -13r Solving -44 + -124r = 67 + -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. -44 + -124r + 13r = 67 + -13r + 13r Combine like terms: -124r + 13r = -111r -44 + -111r = 67 + -13r + 13r Combine like terms: -13r + 13r = 0 -44 + -111r = 67 + 0 -44 + -111r = 67 Add '44' to each side of the equation. -44 + 44 + -111r = 67 + 44 Combine like terms: -44 + 44 = 0 0 + -111r = 67 + 44 -111r = 67 + 44 Combine like terms: 67 + 44 = 111 -111r = 111 Divide each side by '-111'. r = -1 Simplifying r = -1
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