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Simplifying -4.8k + -1(-3 + -6k) = 3.8 -4.8k + (-3 * -1 + -6k * -1) = 3.8 -4.8k + (3 + 6k) = 3.8 Reorder the terms: 3 + -4.8k + 6k = 3.8 Combine like terms: -4.8k + 6k = 1.2k 3 + 1.2k = 3.8 Solving 3 + 1.2k = 3.8 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 1.2k = 3.8 + -3 Combine like terms: 3 + -3 = 0 0 + 1.2k = 3.8 + -3 1.2k = 3.8 + -3 Combine like terms: 3.8 + -3 = 0.8 1.2k = 0.8 Divide each side by '1.2'. k = 0.6666666667 Simplifying k = 0.6666666667
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