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Simplifying 0.07k + 0.15(200) = 0.09(k + 200) Multiply 0.15 * 200 0.07k + 30 = 0.09(k + 200) Reorder the terms: 30 + 0.07k = 0.09(k + 200) Reorder the terms: 30 + 0.07k = 0.09(200 + k) 30 + 0.07k = (200 * 0.09 + k * 0.09) 30 + 0.07k = (18 + 0.09k) Solving 30 + 0.07k = 18 + 0.09k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.09k' to each side of the equation. 30 + 0.07k + -0.09k = 18 + 0.09k + -0.09k Combine like terms: 0.07k + -0.09k = -0.02k 30 + -0.02k = 18 + 0.09k + -0.09k Combine like terms: 0.09k + -0.09k = 0.00 30 + -0.02k = 18 + 0.00 30 + -0.02k = 18 Add '-30' to each side of the equation. 30 + -30 + -0.02k = 18 + -30 Combine like terms: 30 + -30 = 0 0 + -0.02k = 18 + -30 -0.02k = 18 + -30 Combine like terms: 18 + -30 = -12 -0.02k = -12 Divide each side by '-0.02'. k = 600 Simplifying k = 600
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