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Simplifying 0.30a + 0.20(75 + -1a) = 0.30(75) 0.30a + (75 * 0.20 + -1a * 0.20) = 0.30(75) 0.30a + (15 + -0.2a) = 0.30(75) Reorder the terms: 15 + 0.30a + -0.2a = 0.30(75) Combine like terms: 0.30a + -0.2a = 0.1a 15 + 0.1a = 0.30(75) Multiply 0.30 * 75 15 + 0.1a = 22.5 Solving 15 + 0.1a = 22.5 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 0.1a = 22.5 + -15 Combine like terms: 15 + -15 = 0 0 + 0.1a = 22.5 + -15 0.1a = 22.5 + -15 Combine like terms: 22.5 + -15 = 7.5 0.1a = 7.5 Divide each side by '0.1'. a = 75 Simplifying a = 75
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