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Simplifying 6(-4 + -8k) = 456 (-4 * 6 + -8k * 6) = 456 (-24 + -48k) = 456 Solving -24 + -48k = 456 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -48k = 456 + 24 Combine like terms: -24 + 24 = 0 0 + -48k = 456 + 24 -48k = 456 + 24 Combine like terms: 456 + 24 = 480 -48k = 480 Divide each side by '-48'. k = -10 Simplifying k = -10
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