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Simplifying 3 + 0.05(4a + 8) = 9 + -2a Reorder the terms: 3 + 0.05(8 + 4a) = 9 + -2a 3 + (8 * 0.05 + 4a * 0.05) = 9 + -2a 3 + (0.4 + 0.2a) = 9 + -2a Combine like terms: 3 + 0.4 = 3.4 3.4 + 0.2a = 9 + -2a Solving 3.4 + 0.2a = 9 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 3.4 + 0.2a + 2a = 9 + -2a + 2a Combine like terms: 0.2a + 2a = 2.2a 3.4 + 2.2a = 9 + -2a + 2a Combine like terms: -2a + 2a = 0 3.4 + 2.2a = 9 + 0 3.4 + 2.2a = 9 Add '-3.4' to each side of the equation. 3.4 + -3.4 + 2.2a = 9 + -3.4 Combine like terms: 3.4 + -3.4 = 0.0 0.0 + 2.2a = 9 + -3.4 2.2a = 9 + -3.4 Combine like terms: 9 + -3.4 = 5.6 2.2a = 5.6 Divide each side by '2.2'. a = 2.545454545 Simplifying a = 2.545454545
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