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Simplifying 7(k + -7) = 2(11 + k) Reorder the terms: 7(-7 + k) = 2(11 + k) (-7 * 7 + k * 7) = 2(11 + k) (-49 + 7k) = 2(11 + k) -49 + 7k = (11 * 2 + k * 2) -49 + 7k = (22 + 2k) Solving -49 + 7k = 22 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -49 + 7k + -2k = 22 + 2k + -2k Combine like terms: 7k + -2k = 5k -49 + 5k = 22 + 2k + -2k Combine like terms: 2k + -2k = 0 -49 + 5k = 22 + 0 -49 + 5k = 22 Add '49' to each side of the equation. -49 + 49 + 5k = 22 + 49 Combine like terms: -49 + 49 = 0 0 + 5k = 22 + 49 5k = 22 + 49 Combine like terms: 22 + 49 = 71 5k = 71 Divide each side by '5'. k = 14.2 Simplifying k = 14.2
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