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Simplifying 43.98 = 3.9 + 4(3.3 + 2.4a) 43.98 = 3.9 + (3.3 * 4 + 2.4a * 4) 43.98 = 3.9 + (13.2 + 9.6a) Combine like terms: 3.9 + 13.2 = 17.1 43.98 = 17.1 + 9.6a Solving 43.98 = 17.1 + 9.6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9.6a' to each side of the equation. 43.98 + -9.6a = 17.1 + 9.6a + -9.6a Combine like terms: 9.6a + -9.6a = 0.0 43.98 + -9.6a = 17.1 + 0.0 43.98 + -9.6a = 17.1 Add '-43.98' to each side of the equation. 43.98 + -43.98 + -9.6a = 17.1 + -43.98 Combine like terms: 43.98 + -43.98 = 0.00 0.00 + -9.6a = 17.1 + -43.98 -9.6a = 17.1 + -43.98 Combine like terms: 17.1 + -43.98 = -26.88 -9.6a = -26.88 Divide each side by '-9.6'. a = 2.8 Simplifying a = 2.8
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