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Simplifying 0.75(8a + 20) + -2(a + -1) = 3 Reorder the terms: 0.75(20 + 8a) + -2(a + -1) = 3 (20 * 0.75 + 8a * 0.75) + -2(a + -1) = 3 (15 + 6a) + -2(a + -1) = 3 Reorder the terms: 15 + 6a + -2(-1 + a) = 3 15 + 6a + (-1 * -2 + a * -2) = 3 15 + 6a + (2 + -2a) = 3 Reorder the terms: 15 + 2 + 6a + -2a = 3 Combine like terms: 15 + 2 = 17 17 + 6a + -2a = 3 Combine like terms: 6a + -2a = 4a 17 + 4a = 3 Solving 17 + 4a = 3 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 4a = 3 + -17 Combine like terms: 17 + -17 = 0 0 + 4a = 3 + -17 4a = 3 + -17 Combine like terms: 3 + -17 = -14 4a = -14 Divide each side by '4'. a = -3.5 Simplifying a = -3.5
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