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Simplifying 7.4(a + 3) = 3.2a + 43.3 Reorder the terms: 7.4(3 + a) = 3.2a + 43.3 (3 * 7.4 + a * 7.4) = 3.2a + 43.3 (22.2 + 7.4a) = 3.2a + 43.3 Reorder the terms: 22.2 + 7.4a = 43.3 + 3.2a Solving 22.2 + 7.4a = 43.3 + 3.2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3.2a' to each side of the equation. 22.2 + 7.4a + -3.2a = 43.3 + 3.2a + -3.2a Combine like terms: 7.4a + -3.2a = 4.2a 22.2 + 4.2a = 43.3 + 3.2a + -3.2a Combine like terms: 3.2a + -3.2a = 0.0 22.2 + 4.2a = 43.3 + 0.0 22.2 + 4.2a = 43.3 Add '-22.2' to each side of the equation. 22.2 + -22.2 + 4.2a = 43.3 + -22.2 Combine like terms: 22.2 + -22.2 = 0.0 0.0 + 4.2a = 43.3 + -22.2 4.2a = 43.3 + -22.2 Combine like terms: 43.3 + -22.2 = 21.1 4.2a = 21.1 Divide each side by '4.2'. a = 5.023809524 Simplifying a = 5.023809524
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