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Simplifying 4(k + -6) + -5k = 9 + -8(k + 9) Reorder the terms: 4(-6 + k) + -5k = 9 + -8(k + 9) (-6 * 4 + k * 4) + -5k = 9 + -8(k + 9) (-24 + 4k) + -5k = 9 + -8(k + 9) Combine like terms: 4k + -5k = -1k -24 + -1k = 9 + -8(k + 9) Reorder the terms: -24 + -1k = 9 + -8(9 + k) -24 + -1k = 9 + (9 * -8 + k * -8) -24 + -1k = 9 + (-72 + -8k) Combine like terms: 9 + -72 = -63 -24 + -1k = -63 + -8k Solving -24 + -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. -24 + -1k + 8k = -63 + -8k + 8k Combine like terms: -1k + 8k = 7k -24 + 7k = -63 + -8k + 8k Combine like terms: -8k + 8k = 0 -24 + 7k = -63 + 0 -24 + 7k = -63 Add '24' to each side of the equation. -24 + 24 + 7k = -63 + 24 Combine like terms: -24 + 24 = 0 0 + 7k = -63 + 24 7k = -63 + 24 Combine like terms: -63 + 24 = -39 7k = -39 Divide each side by '7'. k = -5.571428571 Simplifying k = -5.571428571
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