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Simplifying 3(k + -4) + -1(2k + 2) = 9 Reorder the terms: 3(-4 + k) + -1(2k + 2) = 9 (-4 * 3 + k * 3) + -1(2k + 2) = 9 (-12 + 3k) + -1(2k + 2) = 9 Reorder the terms: -12 + 3k + -1(2 + 2k) = 9 -12 + 3k + (2 * -1 + 2k * -1) = 9 -12 + 3k + (-2 + -2k) = 9 Reorder the terms: -12 + -2 + 3k + -2k = 9 Combine like terms: -12 + -2 = -14 -14 + 3k + -2k = 9 Combine like terms: 3k + -2k = 1k -14 + 1k = 9 Solving -14 + 1k = 9 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 1k = 9 + 14 Combine like terms: -14 + 14 = 0 0 + 1k = 9 + 14 1k = 9 + 14 Combine like terms: 9 + 14 = 23 1k = 23 Divide each side by '1'. k = 23 Simplifying k = 23
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