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Simplifying 0.6k + 44 = -0.48k + 8 Reorder the terms: 44 + 0.6k = -0.48k + 8 Reorder the terms: 44 + 0.6k = 8 + -0.48k Solving 44 + 0.6k = 8 + -0.48k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.48k' to each side of the equation. 44 + 0.6k + 0.48k = 8 + -0.48k + 0.48k Combine like terms: 0.6k + 0.48k = 1.08k 44 + 1.08k = 8 + -0.48k + 0.48k Combine like terms: -0.48k + 0.48k = 0.00 44 + 1.08k = 8 + 0.00 44 + 1.08k = 8 Add '-44' to each side of the equation. 44 + -44 + 1.08k = 8 + -44 Combine like terms: 44 + -44 = 0 0 + 1.08k = 8 + -44 1.08k = 8 + -44 Combine like terms: 8 + -44 = -36 1.08k = -36 Divide each side by '1.08'. k = -33.33333333 Simplifying k = -33.33333333
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