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Simplifying 2.5(a + 4) + -3.2 = 43 Reorder the terms: 2.5(4 + a) + -3.2 = 43 (4 * 2.5 + a * 2.5) + -3.2 = 43 (10 + 2.5a) + -3.2 = 43 Reorder the terms: 10 + -3.2 + 2.5a = 43 Combine like terms: 10 + -3.2 = 6.8 6.8 + 2.5a = 43 Solving 6.8 + 2.5a = 43 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6.8' to each side of the equation. 6.8 + -6.8 + 2.5a = 43 + -6.8 Combine like terms: 6.8 + -6.8 = 0.0 0.0 + 2.5a = 43 + -6.8 2.5a = 43 + -6.8 Combine like terms: 43 + -6.8 = 36.2 2.5a = 36.2 Divide each side by '2.5'. a = 14.48 Simplifying a = 14.48
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