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Simplifying 1 + -1k + -6 = 3k + 4 Reorder the terms: 1 + -6 + -1k = 3k + 4 Combine like terms: 1 + -6 = -5 -5 + -1k = 3k + 4 Reorder the terms: -5 + -1k = 4 + 3k Solving -5 + -1k = 4 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -5 + -1k + -3k = 4 + 3k + -3k Combine like terms: -1k + -3k = -4k -5 + -4k = 4 + 3k + -3k Combine like terms: 3k + -3k = 0 -5 + -4k = 4 + 0 -5 + -4k = 4 Add '5' to each side of the equation. -5 + 5 + -4k = 4 + 5 Combine like terms: -5 + 5 = 0 0 + -4k = 4 + 5 -4k = 4 + 5 Combine like terms: 4 + 5 = 9 -4k = 9 Divide each side by '-4'. k = -2.25 Simplifying k = -2.25
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