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Simplifying 0.06a + 0.07(a + 400) = 67 Reorder the terms: 0.06a + 0.07(400 + a) = 67 0.06a + (400 * 0.07 + a * 0.07) = 67 0.06a + (28 + 0.07a) = 67 Reorder the terms: 28 + 0.06a + 0.07a = 67 Combine like terms: 0.06a + 0.07a = 0.13a 28 + 0.13a = 67 Solving 28 + 0.13a = 67 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 0.13a = 67 + -28 Combine like terms: 28 + -28 = 0 0 + 0.13a = 67 + -28 0.13a = 67 + -28 Combine like terms: 67 + -28 = 39 0.13a = 39 Divide each side by '0.13'. a = 300 Simplifying a = 300
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