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Simplifying -1(3k + -2) + -3(k + 4) = 14 Reorder the terms: -1(-2 + 3k) + -3(k + 4) = 14 (-2 * -1 + 3k * -1) + -3(k + 4) = 14 (2 + -3k) + -3(k + 4) = 14 Reorder the terms: 2 + -3k + -3(4 + k) = 14 2 + -3k + (4 * -3 + k * -3) = 14 2 + -3k + (-12 + -3k) = 14 Reorder the terms: 2 + -12 + -3k + -3k = 14 Combine like terms: 2 + -12 = -10 -10 + -3k + -3k = 14 Combine like terms: -3k + -3k = -6k -10 + -6k = 14 Solving -10 + -6k = 14 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -6k = 14 + 10 Combine like terms: -10 + 10 = 0 0 + -6k = 14 + 10 -6k = 14 + 10 Combine like terms: 14 + 10 = 24 -6k = 24 Divide each side by '-6'. k = -4 Simplifying k = -4
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