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Simplifying 0.07 + 0.15(200) = 0.09(k + 200) Multiply 0.15 * 200 0.07 + 30 = 0.09(k + 200) Combine like terms: 0.07 + 30 = 30.07 30.07 = 0.09(k + 200) Reorder the terms: 30.07 = 0.09(200 + k) 30.07 = (200 * 0.09 + k * 0.09) 30.07 = (18 + 0.09k) Solving 30.07 = 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. 30.07 + -0.09k = 18 + 0.09k + -0.09k Combine like terms: 0.09k + -0.09k = 0.00 30.07 + -0.09k = 18 + 0.00 30.07 + -0.09k = 18 Add '-30.07' to each side of the equation. 30.07 + -30.07 + -0.09k = 18 + -30.07 Combine like terms: 30.07 + -30.07 = 0.00 0.00 + -0.09k = 18 + -30.07 -0.09k = 18 + -30.07 Combine like terms: 18 + -30.07 = -12.07 -0.09k = -12.07 Divide each side by '-0.09'. k = 134.1111111 Simplifying k = 134.1111111
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