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Simplifying 3(k + -4) + -2(k + 1) = 0 Reorder the terms: 3(-4 + k) + -2(k + 1) = 0 (-4 * 3 + k * 3) + -2(k + 1) = 0 (-12 + 3k) + -2(k + 1) = 0 Reorder the terms: -12 + 3k + -2(1 + k) = 0 -12 + 3k + (1 * -2 + k * -2) = 0 -12 + 3k + (-2 + -2k) = 0 Reorder the terms: -12 + -2 + 3k + -2k = 0 Combine like terms: -12 + -2 = -14 -14 + 3k + -2k = 0 Combine like terms: 3k + -2k = 1k -14 + 1k = 0 Solving -14 + 1k = 0 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 = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 1k = 0 + 14 1k = 0 + 14 Combine like terms: 0 + 14 = 14 1k = 14 Divide each side by '1'. k = 14 Simplifying k = 14
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