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Simplifying 0.20(5k + 35) + -8 = 12 Reorder the terms: 0.20(35 + 5k) + -8 = 12 (35 * 0.20 + 5k * 0.20) + -8 = 12 (7 + 1k) + -8 = 12 Reorder the terms: 7 + -8 + 1k = 12 Combine like terms: 7 + -8 = -1 -1 + 1k = 12 Solving -1 + 1k = 12 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 1k = 12 + 1 Combine like terms: -1 + 1 = 0 0 + 1k = 12 + 1 1k = 12 + 1 Combine like terms: 12 + 1 = 13 1k = 13 Divide each side by '1'. k = 13 Simplifying k = 13
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