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Simplifying 0.4k + -2(0.1k + 3) = -1k + 24 Reorder the terms: 0.4k + -2(3 + 0.1k) = -1k + 24 0.4k + (3 * -2 + 0.1k * -2) = -1k + 24 0.4k + (-6 + -0.2k) = -1k + 24 Reorder the terms: -6 + 0.4k + -0.2k = -1k + 24 Combine like terms: 0.4k + -0.2k = 0.2k -6 + 0.2k = -1k + 24 Reorder the terms: -6 + 0.2k = 24 + -1k Solving -6 + 0.2k = 24 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -6 + 0.2k + k = 24 + -1k + k Combine like terms: 0.2k + k = 1.2k -6 + 1.2k = 24 + -1k + k Combine like terms: -1k + k = 0 -6 + 1.2k = 24 + 0 -6 + 1.2k = 24 Add '6' to each side of the equation. -6 + 6 + 1.2k = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 1.2k = 24 + 6 1.2k = 24 + 6 Combine like terms: 24 + 6 = 30 1.2k = 30 Divide each side by '1.2'. k = 25 Simplifying k = 25
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