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Simplifying k + (k + 125) + 0.4(k + 500) = 620 Reorder the terms: k + (125 + k) + 0.4(k + 500) = 620 Remove parenthesis around (125 + k) k + 125 + k + 0.4(k + 500) = 620 Reorder the terms: k + 125 + k + 0.4(500 + k) = 620 k + 125 + k + (500 * 0.4 + k * 0.4) = 620 k + 125 + k + (200 + 0.4k) = 620 Reorder the terms: 125 + 200 + k + k + 0.4k = 620 Combine like terms: 125 + 200 = 325 325 + k + k + 0.4k = 620 Combine like terms: k + k = 2k 325 + 2k + 0.4k = 620 Combine like terms: 2k + 0.4k = 2.4k 325 + 2.4k = 620 Solving 325 + 2.4k = 620 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-325' to each side of the equation. 325 + -325 + 2.4k = 620 + -325 Combine like terms: 325 + -325 = 0 0 + 2.4k = 620 + -325 2.4k = 620 + -325 Combine like terms: 620 + -325 = 295 2.4k = 295 Divide each side by '2.4'. k = 122.9166667 Simplifying k = 122.9166667
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