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Simplifying 3.2k + 4(k + 0.7) = 38.8 Reorder the terms: 3.2k + 4(0.7 + k) = 38.8 3.2k + (0.7 * 4 + k * 4) = 38.8 3.2k + (2.8 + 4k) = 38.8 Reorder the terms: 2.8 + 3.2k + 4k = 38.8 Combine like terms: 3.2k + 4k = 7.2k 2.8 + 7.2k = 38.8 Solving 2.8 + 7.2k = 38.8 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2.8' to each side of the equation. 2.8 + -2.8 + 7.2k = 38.8 + -2.8 Combine like terms: 2.8 + -2.8 = 0.0 0.0 + 7.2k = 38.8 + -2.8 7.2k = 38.8 + -2.8 Combine like terms: 38.8 + -2.8 = 36 7.2k = 36 Divide each side by '7.2'. k = 5 Simplifying k = 5
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