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Simplifying 0.10a + 0.25(30 + -1a) = 30(0.15) 0.10a + (30 * 0.25 + -1a * 0.25) = 30(0.15) 0.10a + (7.5 + -0.25a) = 30(0.15) Reorder the terms: 7.5 + 0.10a + -0.25a = 30(0.15) Combine like terms: 0.10a + -0.25a = -0.15a 7.5 + -0.15a = 30(0.15) Multiply 30 * 0.15 7.5 + -0.15a = 4.5 Solving 7.5 + -0.15a = 4.5 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7.5' to each side of the equation. 7.5 + -7.5 + -0.15a = 4.5 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + -0.15a = 4.5 + -7.5 -0.15a = 4.5 + -7.5 Combine like terms: 4.5 + -7.5 = -3 -0.15a = -3 Divide each side by '-0.15'. a = 20 Simplifying a = 20
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