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Simplifying -7(k + 9) = 9(k + -5) + -14 Reorder the terms: -7(9 + k) = 9(k + -5) + -14 (9 * -7 + k * -7) = 9(k + -5) + -14 (-63 + -7k) = 9(k + -5) + -14 Reorder the terms: -63 + -7k = 9(-5 + k) + -14 -63 + -7k = (-5 * 9 + k * 9) + -14 -63 + -7k = (-45 + 9k) + -14 Reorder the terms: -63 + -7k = -45 + -14 + 9k Combine like terms: -45 + -14 = -59 -63 + -7k = -59 + 9k Solving -63 + -7k = -59 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. -63 + -7k + -9k = -59 + 9k + -9k Combine like terms: -7k + -9k = -16k -63 + -16k = -59 + 9k + -9k Combine like terms: 9k + -9k = 0 -63 + -16k = -59 + 0 -63 + -16k = -59 Add '63' to each side of the equation. -63 + 63 + -16k = -59 + 63 Combine like terms: -63 + 63 = 0 0 + -16k = -59 + 63 -16k = -59 + 63 Combine like terms: -59 + 63 = 4 -16k = 4 Divide each side by '-16'. k = -0.25 Simplifying k = -0.25
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