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Simplifying -7(k + p) = 9(k + -5) + -14k (k * -7 + p * -7) = 9(k + -5) + -14k (-7k + -7p) = 9(k + -5) + -14k Reorder the terms: -7k + -7p = 9(-5 + k) + -14k -7k + -7p = (-5 * 9 + k * 9) + -14k -7k + -7p = (-45 + 9k) + -14k Combine like terms: 9k + -14k = -5k -7k + -7p = -45 + -5k Solving -7k + -7p = -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. -7k + 5k + -7p = -45 + -5k + 5k Combine like terms: -7k + 5k = -2k -2k + -7p = -45 + -5k + 5k Combine like terms: -5k + 5k = 0 -2k + -7p = -45 + 0 -2k + -7p = -45 Add '7p' to each side of the equation. -2k + -7p + 7p = -45 + 7p Combine like terms: -7p + 7p = 0 -2k + 0 = -45 + 7p -2k = -45 + 7p Divide each side by '-2'. k = 22.5 + -3.5p Simplifying k = 22.5 + -3.5p
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