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Simplifying 18k + -2(7k + 3) = -38 Reorder the terms: 18k + -2(3 + 7k) = -38 18k + (3 * -2 + 7k * -2) = -38 18k + (-6 + -14k) = -38 Reorder the terms: -6 + 18k + -14k = -38 Combine like terms: 18k + -14k = 4k -6 + 4k = -38 Solving -6 + 4k = -38 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 4k = -38 + 6 Combine like terms: -6 + 6 = 0 0 + 4k = -38 + 6 4k = -38 + 6 Combine like terms: -38 + 6 = -32 4k = -32 Divide each side by '4'. k = -8 Simplifying k = -8
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