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Simplifying -7k + -63 = -9k + -40 + -14k Reorder the terms: -63 + -7k = -9k + -40 + -14k Reorder the terms: -63 + -7k = -40 + -9k + -14k Combine like terms: -9k + -14k = -23k -63 + -7k = -40 + -23k Solving -63 + -7k = -40 + -23k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '23k' to each side of the equation. -63 + -7k + 23k = -40 + -23k + 23k Combine like terms: -7k + 23k = 16k -63 + 16k = -40 + -23k + 23k Combine like terms: -23k + 23k = 0 -63 + 16k = -40 + 0 -63 + 16k = -40 Add '63' to each side of the equation. -63 + 63 + 16k = -40 + 63 Combine like terms: -63 + 63 = 0 0 + 16k = -40 + 63 16k = -40 + 63 Combine like terms: -40 + 63 = 23 16k = 23 Divide each side by '16'. k = 1.4375 Simplifying k = 1.4375
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