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Simplifying 46 = 4k + -2 Reorder the terms: 46 = -2 + 4k Solving 46 = -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. 46 + -4k = -2 + 4k + -4k Combine like terms: 4k + -4k = 0 46 + -4k = -2 + 0 46 + -4k = -2 Add '-46' to each side of the equation. 46 + -46 + -4k = -2 + -46 Combine like terms: 46 + -46 = 0 0 + -4k = -2 + -46 -4k = -2 + -46 Combine like terms: -2 + -46 = -48 -4k = -48 Divide each side by '-4'. k = 12 Simplifying k = 12
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