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Simplifying -6 + -3(2k + 4) = 1 Reorder the terms: -6 + -3(4 + 2k) = 1 -6 + (4 * -3 + 2k * -3) = 1 -6 + (-12 + -6k) = 1 Combine like terms: -6 + -12 = -18 -18 + -6k = 1 Solving -18 + -6k = 1 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -6k = 1 + 18 Combine like terms: -18 + 18 = 0 0 + -6k = 1 + 18 -6k = 1 + 18 Combine like terms: 1 + 18 = 19 -6k = 19 Divide each side by '-6'. k = -3.166666667 Simplifying k = -3.166666667
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