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Simplifying 1.2(8k + 2) = 4 Reorder the terms: 1.2(2 + 8k) = 4 (2 * 1.2 + 8k * 1.2) = 4 (2.4 + 9.6k) = 4 Solving 2.4 + 9.6k = 4 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2.4' to each side of the equation. 2.4 + -2.4 + 9.6k = 4 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + 9.6k = 4 + -2.4 9.6k = 4 + -2.4 Combine like terms: 4 + -2.4 = 1.6 9.6k = 1.6 Divide each side by '9.6'. k = 0.1666666667 Simplifying k = 0.1666666667
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