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Simplifying 0.17k + -0.43 = 0.25k + 0.05 Reorder the terms: -0.43 + 0.17k = 0.25k + 0.05 Reorder the terms: -0.43 + 0.17k = 0.05 + 0.25k Solving -0.43 + 0.17k = 0.05 + 0.25k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.25k' to each side of the equation. -0.43 + 0.17k + -0.25k = 0.05 + 0.25k + -0.25k Combine like terms: 0.17k + -0.25k = -0.08k -0.43 + -0.08k = 0.05 + 0.25k + -0.25k Combine like terms: 0.25k + -0.25k = 0.00 -0.43 + -0.08k = 0.05 + 0.00 -0.43 + -0.08k = 0.05 Add '0.43' to each side of the equation. -0.43 + 0.43 + -0.08k = 0.05 + 0.43 Combine like terms: -0.43 + 0.43 = 0.00 0.00 + -0.08k = 0.05 + 0.43 -0.08k = 0.05 + 0.43 Combine like terms: 0.05 + 0.43 = 0.48 -0.08k = 0.48 Divide each side by '-0.08'. k = -6 Simplifying k = -6
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