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Simplifying -1k + -4 + -4k + -3 = -1 + -3k Reorder the terms: -4 + -3 + -1k + -4k = -1 + -3k Combine like terms: -4 + -3 = -7 -7 + -1k + -4k = -1 + -3k Combine like terms: -1k + -4k = -5k -7 + -5k = -1 + -3k Solving -7 + -5k = -1 + -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. -7 + -5k + 3k = -1 + -3k + 3k Combine like terms: -5k + 3k = -2k -7 + -2k = -1 + -3k + 3k Combine like terms: -3k + 3k = 0 -7 + -2k = -1 + 0 -7 + -2k = -1 Add '7' to each side of the equation. -7 + 7 + -2k = -1 + 7 Combine like terms: -7 + 7 = 0 0 + -2k = -1 + 7 -2k = -1 + 7 Combine like terms: -1 + 7 = 6 -2k = 6 Divide each side by '-2'. k = -3 Simplifying k = -3
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