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Simplifying 9(k + -4) + -1(8k + 3) = 9 Reorder the terms: 9(-4 + k) + -1(8k + 3) = 9 (-4 * 9 + k * 9) + -1(8k + 3) = 9 (-36 + 9k) + -1(8k + 3) = 9 Reorder the terms: -36 + 9k + -1(3 + 8k) = 9 -36 + 9k + (3 * -1 + 8k * -1) = 9 -36 + 9k + (-3 + -8k) = 9 Reorder the terms: -36 + -3 + 9k + -8k = 9 Combine like terms: -36 + -3 = -39 -39 + 9k + -8k = 9 Combine like terms: 9k + -8k = 1k -39 + 1k = 9 Solving -39 + 1k = 9 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + 1k = 9 + 39 Combine like terms: -39 + 39 = 0 0 + 1k = 9 + 39 1k = 9 + 39 Combine like terms: 9 + 39 = 48 1k = 48 Divide each side by '1'. k = 48 Simplifying k = 48
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