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Simplifying -42 = -6 + -4k Solving -42 = -6 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. -42 + 4k = -6 + -4k + 4k Combine like terms: -4k + 4k = 0 -42 + 4k = -6 + 0 -42 + 4k = -6 Add '42' to each side of the equation. -42 + 42 + 4k = -6 + 42 Combine like terms: -42 + 42 = 0 0 + 4k = -6 + 42 4k = -6 + 42 Combine like terms: -6 + 42 = 36 4k = 36 Divide each side by '4'. k = 9 Simplifying k = 9
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