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Simplifying 3 + 0.5(4a + 8) = 9 + -3a Reorder the terms: 3 + 0.5(8 + 4a) = 9 + -3a 3 + (8 * 0.5 + 4a * 0.5) = 9 + -3a 3 + (4 + 2a) = 9 + -3a Combine like terms: 3 + 4 = 7 7 + 2a = 9 + -3a Solving 7 + 2a = 9 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 7 + 2a + 3a = 9 + -3a + 3a Combine like terms: 2a + 3a = 5a 7 + 5a = 9 + -3a + 3a Combine like terms: -3a + 3a = 0 7 + 5a = 9 + 0 7 + 5a = 9 Add '-7' to each side of the equation. 7 + -7 + 5a = 9 + -7 Combine like terms: 7 + -7 = 0 0 + 5a = 9 + -7 5a = 9 + -7 Combine like terms: 9 + -7 = 2 5a = 2 Divide each side by '5'. a = 0.4 Simplifying a = 0.4
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