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Simplifying 42 = -2 + -4k Solving 42 = -2 + -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 = -2 + -4k + 4k Combine like terms: -4k + 4k = 0 42 + 4k = -2 + 0 42 + 4k = -2 Add '-42' to each side of the equation. 42 + -42 + 4k = -2 + -42 Combine like terms: 42 + -42 = 0 0 + 4k = -2 + -42 4k = -2 + -42 Combine like terms: -2 + -42 = -44 4k = -44 Divide each side by '4'. k = -11 Simplifying k = -11
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