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Simplifying 8 + -19k + 6(3k + -5) = 0 Reorder the terms: 8 + -19k + 6(-5 + 3k) = 0 8 + -19k + (-5 * 6 + 3k * 6) = 0 8 + -19k + (-30 + 18k) = 0 Reorder the terms: 8 + -30 + -19k + 18k = 0 Combine like terms: 8 + -30 = -22 -22 + -19k + 18k = 0 Combine like terms: -19k + 18k = -1k -22 + -1k = 0 Solving -22 + -1k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -1k = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -1k = 0 + 22 -1k = 0 + 22 Combine like terms: 0 + 22 = 22 -1k = 22 Divide each side by '-1'. k = -22 Simplifying k = -22
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