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Simplifying k + -10 + -4k = 10 + -1k Reorder the terms: -10 + k + -4k = 10 + -1k Combine like terms: k + -4k = -3k -10 + -3k = 10 + -1k Solving -10 + -3k = 10 + -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. -10 + -3k + k = 10 + -1k + k Combine like terms: -3k + k = -2k -10 + -2k = 10 + -1k + k Combine like terms: -1k + k = 0 -10 + -2k = 10 + 0 -10 + -2k = 10 Add '10' to each side of the equation. -10 + 10 + -2k = 10 + 10 Combine like terms: -10 + 10 = 0 0 + -2k = 10 + 10 -2k = 10 + 10 Combine like terms: 10 + 10 = 20 -2k = 20 Divide each side by '-2'. k = -10 Simplifying k = -10
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