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Simplifying 3k + 6 + -4k = k + 100 Reorder the terms: 6 + 3k + -4k = k + 100 Combine like terms: 3k + -4k = -1k 6 + -1k = k + 100 Reorder the terms: 6 + -1k = 100 + k Solving 6 + -1k = 100 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 6 + -1k + -1k = 100 + k + -1k Combine like terms: -1k + -1k = -2k 6 + -2k = 100 + k + -1k Combine like terms: k + -1k = 0 6 + -2k = 100 + 0 6 + -2k = 100 Add '-6' to each side of the equation. 6 + -6 + -2k = 100 + -6 Combine like terms: 6 + -6 = 0 0 + -2k = 100 + -6 -2k = 100 + -6 Combine like terms: 100 + -6 = 94 -2k = 94 Divide each side by '-2'. k = -47 Simplifying k = -47
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