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Simplifying -150 = -6k + -6(4 + -8k) -150 = -6k + (4 * -6 + -8k * -6) -150 = -6k + (-24 + 48k) Reorder the terms: -150 = -24 + -6k + 48k Combine like terms: -6k + 48k = 42k -150 = -24 + 42k Solving -150 = -24 + 42k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-42k' to each side of the equation. -150 + -42k = -24 + 42k + -42k Combine like terms: 42k + -42k = 0 -150 + -42k = -24 + 0 -150 + -42k = -24 Add '150' to each side of the equation. -150 + 150 + -42k = -24 + 150 Combine like terms: -150 + 150 = 0 0 + -42k = -24 + 150 -42k = -24 + 150 Combine like terms: -24 + 150 = 126 -42k = 126 Divide each side by '-42'. k = -3 Simplifying k = -3
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