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Simplifying 8(k + -3) + -3(k + -6) = 9 Reorder the terms: 8(-3 + k) + -3(k + -6) = 9 (-3 * 8 + k * 8) + -3(k + -6) = 9 (-24 + 8k) + -3(k + -6) = 9 Reorder the terms: -24 + 8k + -3(-6 + k) = 9 -24 + 8k + (-6 * -3 + k * -3) = 9 -24 + 8k + (18 + -3k) = 9 Reorder the terms: -24 + 18 + 8k + -3k = 9 Combine like terms: -24 + 18 = -6 -6 + 8k + -3k = 9 Combine like terms: 8k + -3k = 5k -6 + 5k = 9 Solving -6 + 5k = 9 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 + 5k = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 5k = 9 + 6 5k = 9 + 6 Combine like terms: 9 + 6 = 15 5k = 15 Divide each side by '5'. k = 3 Simplifying k = 3
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