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Simplifying -4 = 1 + 3k + -4k Combine like terms: 3k + -4k = -1k -4 = 1 + -1k Solving -4 = 1 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -4 + k = 1 + -1k + k Combine like terms: -1k + k = 0 -4 + k = 1 + 0 -4 + k = 1 Add '4' to each side of the equation. -4 + 4 + k = 1 + 4 Combine like terms: -4 + 4 = 0 0 + k = 1 + 4 k = 1 + 4 Combine like terms: 1 + 4 = 5 k = 5 Simplifying k = 5
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