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Simplifying -6(3k + 2) = -1k + -9(2k + 18) Reorder the terms: -6(2 + 3k) = -1k + -9(2k + 18) (2 * -6 + 3k * -6) = -1k + -9(2k + 18) (-12 + -18k) = -1k + -9(2k + 18) Reorder the terms: -12 + -18k = -1k + -9(18 + 2k) -12 + -18k = -1k + (18 * -9 + 2k * -9) -12 + -18k = -1k + (-162 + -18k) Reorder the terms: -12 + -18k = -162 + -1k + -18k Combine like terms: -1k + -18k = -19k -12 + -18k = -162 + -19k Solving -12 + -18k = -162 + -19k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '19k' to each side of the equation. -12 + -18k + 19k = -162 + -19k + 19k Combine like terms: -18k + 19k = 1k -12 + 1k = -162 + -19k + 19k Combine like terms: -19k + 19k = 0 -12 + 1k = -162 + 0 -12 + 1k = -162 Add '12' to each side of the equation. -12 + 12 + 1k = -162 + 12 Combine like terms: -12 + 12 = 0 0 + 1k = -162 + 12 1k = -162 + 12 Combine like terms: -162 + 12 = -150 1k = -150 Divide each side by '1'. k = -150 Simplifying k = -150
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