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Simplifying 600(7 + -1k) + 30(k + -2) = 100 (7 * 600 + -1k * 600) + 30(k + -2) = 100 (4200 + -600k) + 30(k + -2) = 100 Reorder the terms: 4200 + -600k + 30(-2 + k) = 100 4200 + -600k + (-2 * 30 + k * 30) = 100 4200 + -600k + (-60 + 30k) = 100 Reorder the terms: 4200 + -60 + -600k + 30k = 100 Combine like terms: 4200 + -60 = 4140 4140 + -600k + 30k = 100 Combine like terms: -600k + 30k = -570k 4140 + -570k = 100 Solving 4140 + -570k = 100 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4140' to each side of the equation. 4140 + -4140 + -570k = 100 + -4140 Combine like terms: 4140 + -4140 = 0 0 + -570k = 100 + -4140 -570k = 100 + -4140 Combine like terms: 100 + -4140 = -4040 -570k = -4040 Divide each side by '-570'. k = 7.087719298 Simplifying k = 7.087719298
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