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Simplifying -1(2k + -11) = 7 Reorder the terms: -1(-11 + 2k) = 7 (-11 * -1 + 2k * -1) = 7 (11 + -2k) = 7 Solving 11 + -2k = 7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -2k = 7 + -11 Combine like terms: 11 + -11 = 0 0 + -2k = 7 + -11 -2k = 7 + -11 Combine like terms: 7 + -11 = -4 -2k = -4 Divide each side by '-2'. k = 2 Simplifying k = 2
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