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Simplifying 10.4 + -6.2 = 3(k + 1) + -2k Combine like terms: 10.4 + -6.2 = 4.2 4.2 = 3(k + 1) + -2k Reorder the terms: 4.2 = 3(1 + k) + -2k 4.2 = (1 * 3 + k * 3) + -2k 4.2 = (3 + 3k) + -2k Combine like terms: 3k + -2k = 1k 4.2 = 3 + 1k Solving 4.2 = 3 + 1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 4.2 + -1k = 3 + 1k + -1k Combine like terms: 1k + -1k = 0 4.2 + -1k = 3 + 0 4.2 + -1k = 3 Add '-4.2' to each side of the equation. 4.2 + -4.2 + -1k = 3 + -4.2 Combine like terms: 4.2 + -4.2 = 0.0 0.0 + -1k = 3 + -4.2 -1k = 3 + -4.2 Combine like terms: 3 + -4.2 = -1.2 -1k = -1.2 Divide each side by '-1'. k = 1.2 Simplifying k = 1.2
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