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Simplifying 0.4(5k + 35) + -8 = 12 Reorder the terms: 0.4(35 + 5k) + -8 = 12 (35 * 0.4 + 5k * 0.4) + -8 = 12 (14 + 2k) + -8 = 12 Reorder the terms: 14 + -8 + 2k = 12 Combine like terms: 14 + -8 = 6 6 + 2k = 12 Solving 6 + 2k = 12 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 2k = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 2k = 12 + -6 2k = 12 + -6 Combine like terms: 12 + -6 = 6 2k = 6 Divide each side by '2'. k = 3 Simplifying k = 3
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