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Simplifying 5(k + -2) + -3(k + -4) = 0 Reorder the terms: 5(-2 + k) + -3(k + -4) = 0 (-2 * 5 + k * 5) + -3(k + -4) = 0 (-10 + 5k) + -3(k + -4) = 0 Reorder the terms: -10 + 5k + -3(-4 + k) = 0 -10 + 5k + (-4 * -3 + k * -3) = 0 -10 + 5k + (12 + -3k) = 0 Reorder the terms: -10 + 12 + 5k + -3k = 0 Combine like terms: -10 + 12 = 2 2 + 5k + -3k = 0 Combine like terms: 5k + -3k = 2k 2 + 2k = 0 Solving 2 + 2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 2k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2k = 0 + -2 2k = 0 + -2 Combine like terms: 0 + -2 = -2 2k = -2 Divide each side by '2'. k = -1 Simplifying k = -1
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