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Simplifying -2(k + -12) + -5(k + 2) = -9k + 4k Reorder the terms: -2(-12 + k) + -5(k + 2) = -9k + 4k (-12 * -2 + k * -2) + -5(k + 2) = -9k + 4k (24 + -2k) + -5(k + 2) = -9k + 4k Reorder the terms: 24 + -2k + -5(2 + k) = -9k + 4k 24 + -2k + (2 * -5 + k * -5) = -9k + 4k 24 + -2k + (-10 + -5k) = -9k + 4k Reorder the terms: 24 + -10 + -2k + -5k = -9k + 4k Combine like terms: 24 + -10 = 14 14 + -2k + -5k = -9k + 4k Combine like terms: -2k + -5k = -7k 14 + -7k = -9k + 4k Combine like terms: -9k + 4k = -5k 14 + -7k = -5k Solving 14 + -7k = -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. 14 + -7k + 5k = -5k + 5k Combine like terms: -7k + 5k = -2k 14 + -2k = -5k + 5k Combine like terms: -5k + 5k = 0 14 + -2k = 0 Add '-14' to each side of the equation. 14 + -14 + -2k = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -2k = 0 + -14 -2k = 0 + -14 Combine like terms: 0 + -14 = -14 -2k = -14 Divide each side by '-2'. k = 7 Simplifying k = 7
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