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Simplifying -1(k + 9) = 9(k + -5) + -14k Reorder the terms: -1(9 + k) = 9(k + -5) + -14k (9 * -1 + k * -1) = 9(k + -5) + -14k (-9 + -1k) = 9(k + -5) + -14k Reorder the terms: -9 + -1k = 9(-5 + k) + -14k -9 + -1k = (-5 * 9 + k * 9) + -14k -9 + -1k = (-45 + 9k) + -14k Combine like terms: 9k + -14k = -5k -9 + -1k = -45 + -5k Solving -9 + -1k = -45 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -9 + -1k + 5k = -45 + -5k + 5k Combine like terms: -1k + 5k = 4k -9 + 4k = -45 + -5k + 5k Combine like terms: -5k + 5k = 0 -9 + 4k = -45 + 0 -9 + 4k = -45 Add '9' to each side of the equation. -9 + 9 + 4k = -45 + 9 Combine like terms: -9 + 9 = 0 0 + 4k = -45 + 9 4k = -45 + 9 Combine like terms: -45 + 9 = -36 4k = -36 Divide each side by '4'. k = -9 Simplifying k = -9
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