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Simplifying -7(k + 9) = 9(k + -5) + -16k Reorder the terms: -7(9 + k) = 9(k + -5) + -16k (9 * -7 + k * -7) = 9(k + -5) + -16k (-63 + -7k) = 9(k + -5) + -16k Reorder the terms: -63 + -7k = 9(-5 + k) + -16k -63 + -7k = (-5 * 9 + k * 9) + -16k -63 + -7k = (-45 + 9k) + -16k Combine like terms: 9k + -16k = -7k -63 + -7k = -45 + -7k Add '7k' to each side of the equation. -63 + -7k + 7k = -45 + -7k + 7k Combine like terms: -7k + 7k = 0 -63 + 0 = -45 + -7k + 7k -63 = -45 + -7k + 7k Combine like terms: -7k + 7k = 0 -63 = -45 + 0 -63 = -45 Solving -63 = -45 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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