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Simplifying 0.17k + -43 = 0.25k + 0.05 Reorder the terms: -43 + 0.17k = 0.25k + 0.05 Reorder the terms: -43 + 0.17k = 0.05 + 0.25k Solving -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. -43 + 0.17k + -0.25k = 0.05 + 0.25k + -0.25k Combine like terms: 0.17k + -0.25k = -0.08k -43 + -0.08k = 0.05 + 0.25k + -0.25k Combine like terms: 0.25k + -0.25k = 0.00 -43 + -0.08k = 0.05 + 0.00 -43 + -0.08k = 0.05 Add '43' to each side of the equation. -43 + 43 + -0.08k = 0.05 + 43 Combine like terms: -43 + 43 = 0 0 + -0.08k = 0.05 + 43 -0.08k = 0.05 + 43 Combine like terms: 0.05 + 43 = 43.05 -0.08k = 43.05 Divide each side by '-0.08'. k = -538.125 Simplifying k = -538.125
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