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Simplifying -4.2k + 2.8 = -1.2k + 8.2 Reorder the terms: 2.8 + -4.2k = -1.2k + 8.2 Reorder the terms: 2.8 + -4.2k = 8.2 + -1.2k Solving 2.8 + -4.2k = 8.2 + -1.2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1.2k' to each side of the equation. 2.8 + -4.2k + 1.2k = 8.2 + -1.2k + 1.2k Combine like terms: -4.2k + 1.2k = -3k 2.8 + -3k = 8.2 + -1.2k + 1.2k Combine like terms: -1.2k + 1.2k = 0.0 2.8 + -3k = 8.2 + 0.0 2.8 + -3k = 8.2 Add '-2.8' to each side of the equation. 2.8 + -2.8 + -3k = 8.2 + -2.8 Combine like terms: 2.8 + -2.8 = 0.0 0.0 + -3k = 8.2 + -2.8 -3k = 8.2 + -2.8 Combine like terms: 8.2 + -2.8 = 5.4 -3k = 5.4 Divide each side by '-3'. k = -1.8 Simplifying k = -1.8
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