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Simplifying 0.002(5 + -1k) + 0.06(k + -3) = 1 (5 * 0.002 + -1k * 0.002) + 0.06(k + -3) = 1 (0.01 + -0.002k) + 0.06(k + -3) = 1 Reorder the terms: 0.01 + -0.002k + 0.06(-3 + k) = 1 0.01 + -0.002k + (-3 * 0.06 + k * 0.06) = 1 0.01 + -0.002k + (-0.18 + 0.06k) = 1 Reorder the terms: 0.01 + -0.18 + -0.002k + 0.06k = 1 Combine like terms: 0.01 + -0.18 = -0.17 -0.17 + -0.002k + 0.06k = 1 Combine like terms: -0.002k + 0.06k = 0.058k -0.17 + 0.058k = 1 Solving -0.17 + 0.058k = 1 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.17' to each side of the equation. -0.17 + 0.17 + 0.058k = 1 + 0.17 Combine like terms: -0.17 + 0.17 = 0.00 0.00 + 0.058k = 1 + 0.17 0.058k = 1 + 0.17 Combine like terms: 1 + 0.17 = 1.17 0.058k = 1.17 Divide each side by '0.058'. k = 20.17241379 Simplifying k = 20.17241379
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