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Simplifying 9(k + -6) + -1(8k + 9) = -4 Reorder the terms: 9(-6 + k) + -1(8k + 9) = -4 (-6 * 9 + k * 9) + -1(8k + 9) = -4 (-54 + 9k) + -1(8k + 9) = -4 Reorder the terms: -54 + 9k + -1(9 + 8k) = -4 -54 + 9k + (9 * -1 + 8k * -1) = -4 -54 + 9k + (-9 + -8k) = -4 Reorder the terms: -54 + -9 + 9k + -8k = -4 Combine like terms: -54 + -9 = -63 -63 + 9k + -8k = -4 Combine like terms: 9k + -8k = 1k -63 + 1k = -4 Solving -63 + 1k = -4 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '63' to each side of the equation. -63 + 63 + 1k = -4 + 63 Combine like terms: -63 + 63 = 0 0 + 1k = -4 + 63 1k = -4 + 63 Combine like terms: -4 + 63 = 59 1k = 59 Divide each side by '1'. k = 59 Simplifying k = 59
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