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Simplifying 3(k + -6) + -4k = 9 + -8(k + 9) Reorder the terms: 3(-6 + k) + -4k = 9 + -8(k + 9) (-6 * 3 + k * 3) + -4k = 9 + -8(k + 9) (-18 + 3k) + -4k = 9 + -8(k + 9) Combine like terms: 3k + -4k = -1k -18 + -1k = 9 + -8(k + 9) Reorder the terms: -18 + -1k = 9 + -8(9 + k) -18 + -1k = 9 + (9 * -8 + k * -8) -18 + -1k = 9 + (-72 + -8k) Combine like terms: 9 + -72 = -63 -18 + -1k = -63 + -8k Solving -18 + -1k = -63 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. -18 + -1k + 8k = -63 + -8k + 8k Combine like terms: -1k + 8k = 7k -18 + 7k = -63 + -8k + 8k Combine like terms: -8k + 8k = 0 -18 + 7k = -63 + 0 -18 + 7k = -63 Add '18' to each side of the equation. -18 + 18 + 7k = -63 + 18 Combine like terms: -18 + 18 = 0 0 + 7k = -63 + 18 7k = -63 + 18 Combine like terms: -63 + 18 = -45 7k = -45 Divide each side by '7'. k = -6.428571429 Simplifying k = -6.428571429
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