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Simplifying 7k + 9k + 6 + -3k + -12 = 0 Reorder the terms: 6 + -12 + 7k + 9k + -3k = 0 Combine like terms: 6 + -12 = -6 -6 + 7k + 9k + -3k = 0 Combine like terms: 7k + 9k = 16k -6 + 16k + -3k = 0 Combine like terms: 16k + -3k = 13k -6 + 13k = 0 Solving -6 + 13k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 13k = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 13k = 0 + 6 13k = 0 + 6 Combine like terms: 0 + 6 = 6 13k = 6 Divide each side by '13'. k = 0.4615384615 Simplifying k = 0.4615384615
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