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Simplifying 0.007(2 + -1k) + 0.06(k + -5) = 1 (2 * 0.007 + -1k * 0.007) + 0.06(k + -5) = 1 (0.014 + -0.007k) + 0.06(k + -5) = 1 Reorder the terms: 0.014 + -0.007k + 0.06(-5 + k) = 1 0.014 + -0.007k + (-5 * 0.06 + k * 0.06) = 1 0.014 + -0.007k + (-0.3 + 0.06k) = 1 Reorder the terms: 0.014 + -0.3 + -0.007k + 0.06k = 1 Combine like terms: 0.014 + -0.3 = -0.286 -0.286 + -0.007k + 0.06k = 1 Combine like terms: -0.007k + 0.06k = 0.053k -0.286 + 0.053k = 1 Solving -0.286 + 0.053k = 1 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.286' to each side of the equation. -0.286 + 0.286 + 0.053k = 1 + 0.286 Combine like terms: -0.286 + 0.286 = 0.000 0.000 + 0.053k = 1 + 0.286 0.053k = 1 + 0.286 Combine like terms: 1 + 0.286 = 1.286 0.053k = 1.286 Divide each side by '0.053'. k = 24.26415094 Simplifying k = 24.26415094
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