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Simplifying 4(k + -6) + -1(-3k + -9) = 6k Reorder the terms: 4(-6 + k) + -1(-3k + -9) = 6k (-6 * 4 + k * 4) + -1(-3k + -9) = 6k (-24 + 4k) + -1(-3k + -9) = 6k Reorder the terms: -24 + 4k + -1(-9 + -3k) = 6k -24 + 4k + (-9 * -1 + -3k * -1) = 6k -24 + 4k + (9 + 3k) = 6k Reorder the terms: -24 + 9 + 4k + 3k = 6k Combine like terms: -24 + 9 = -15 -15 + 4k + 3k = 6k Combine like terms: 4k + 3k = 7k -15 + 7k = 6k Solving -15 + 7k = 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -15 + 7k + -6k = 6k + -6k Combine like terms: 7k + -6k = 1k -15 + 1k = 6k + -6k Combine like terms: 6k + -6k = 0 -15 + 1k = 0 Add '15' to each side of the equation. -15 + 15 + 1k = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 1k = 0 + 15 1k = 0 + 15 Combine like terms: 0 + 15 = 15 1k = 15 Divide each side by '1'. k = 15 Simplifying k = 15
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