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Simplifying 0.25 + -1(k + 0.25) = 0.17(k + 0.25) Reorder the terms: 0.25 + -1(0.25 + k) = 0.17(k + 0.25) 0.25 + (0.25 * -1 + k * -1) = 0.17(k + 0.25) 0.25 + (-0.25 + -1k) = 0.17(k + 0.25) Combine like terms: 0.25 + -0.25 = 0.00 0.00 + -1k = 0.17(k + 0.25) -1k = 0.17(k + 0.25) Reorder the terms: -1k = 0.17(0.25 + k) -1k = (0.25 * 0.17 + k * 0.17) -1k = (0.0425 + 0.17k) Solving -1k = 0.0425 + 0.17k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.17k' to each side of the equation. -1k + -0.17k = 0.0425 + 0.17k + -0.17k Combine like terms: -1k + -0.17k = -1.17k -1.17k = 0.0425 + 0.17k + -0.17k Combine like terms: 0.17k + -0.17k = 0.00 -1.17k = 0.0425 + 0.00 -1.17k = 0.0425 Divide each side by '-1.17'. k = -0.03632478632 Simplifying k = -0.03632478632
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