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Simplifying 6(3k + -4) + 7(k + -6) = 0 Reorder the terms: 6(-4 + 3k) + 7(k + -6) = 0 (-4 * 6 + 3k * 6) + 7(k + -6) = 0 (-24 + 18k) + 7(k + -6) = 0 Reorder the terms: -24 + 18k + 7(-6 + k) = 0 -24 + 18k + (-6 * 7 + k * 7) = 0 -24 + 18k + (-42 + 7k) = 0 Reorder the terms: -24 + -42 + 18k + 7k = 0 Combine like terms: -24 + -42 = -66 -66 + 18k + 7k = 0 Combine like terms: 18k + 7k = 25k -66 + 25k = 0 Solving -66 + 25k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '66' to each side of the equation. -66 + 66 + 25k = 0 + 66 Combine like terms: -66 + 66 = 0 0 + 25k = 0 + 66 25k = 0 + 66 Combine like terms: 0 + 66 = 66 25k = 66 Divide each side by '25'. k = 2.64 Simplifying k = 2.64
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