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Simplifying 0.08k + -4 = 0.1k + 8 Reorder the terms: -4 + 0.08k = 0.1k + 8 Reorder the terms: -4 + 0.08k = 8 + 0.1k Solving -4 + 0.08k = 8 + 0.1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.1k' to each side of the equation. -4 + 0.08k + -0.1k = 8 + 0.1k + -0.1k Combine like terms: 0.08k + -0.1k = -0.02k -4 + -0.02k = 8 + 0.1k + -0.1k Combine like terms: 0.1k + -0.1k = 0.0 -4 + -0.02k = 8 + 0.0 -4 + -0.02k = 8 Add '4' to each side of the equation. -4 + 4 + -0.02k = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -0.02k = 8 + 4 -0.02k = 8 + 4 Combine like terms: 8 + 4 = 12 -0.02k = 12 Divide each side by '-0.02'. k = -600 Simplifying k = -600
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