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Simplifying -4k + 10k + -12 + 3k = 0 Reorder the terms: -12 + -4k + 10k + 3k = 0 Combine like terms: -4k + 10k = 6k -12 + 6k + 3k = 0 Combine like terms: 6k + 3k = 9k -12 + 9k = 0 Solving -12 + 9k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 9k = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 9k = 0 + 12 9k = 0 + 12 Combine like terms: 0 + 12 = 12 9k = 12 Divide each side by '9'. k = 1.333333333 Simplifying k = 1.333333333
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