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Simplifying 2(5k + -3) + -4(k + -6) = 0 Reorder the terms: 2(-3 + 5k) + -4(k + -6) = 0 (-3 * 2 + 5k * 2) + -4(k + -6) = 0 (-6 + 10k) + -4(k + -6) = 0 Reorder the terms: -6 + 10k + -4(-6 + k) = 0 -6 + 10k + (-6 * -4 + k * -4) = 0 -6 + 10k + (24 + -4k) = 0 Reorder the terms: -6 + 24 + 10k + -4k = 0 Combine like terms: -6 + 24 = 18 18 + 10k + -4k = 0 Combine like terms: 10k + -4k = 6k 18 + 6k = 0 Solving 18 + 6k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 6k = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 6k = 0 + -18 6k = 0 + -18 Combine like terms: 0 + -18 = -18 6k = -18 Divide each side by '6'. k = -3 Simplifying k = -3
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