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Simplifying 28 + -2.2k = 11.6k + -54.8 Reorder the terms: 28 + -2.2k = -54.8 + 11.6k Solving 28 + -2.2k = -54.8 + 11.6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-11.6k' to each side of the equation. 28 + -2.2k + -11.6k = -54.8 + 11.6k + -11.6k Combine like terms: -2.2k + -11.6k = -13.8k 28 + -13.8k = -54.8 + 11.6k + -11.6k Combine like terms: 11.6k + -11.6k = 0.0 28 + -13.8k = -54.8 + 0.0 28 + -13.8k = -54.8 Add '-28' to each side of the equation. 28 + -28 + -13.8k = -54.8 + -28 Combine like terms: 28 + -28 = 0 0 + -13.8k = -54.8 + -28 -13.8k = -54.8 + -28 Combine like terms: -54.8 + -28 = -82.8 -13.8k = -82.8 Divide each side by '-13.8'. k = 6 Simplifying k = 6
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