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Simplifying 3.4(2.7a + -1.7) + -1.2a = 47.3 Reorder the terms: 3.4(-1.7 + 2.7a) + -1.2a = 47.3 (-1.7 * 3.4 + 2.7a * 3.4) + -1.2a = 47.3 (-5.78 + 9.18a) + -1.2a = 47.3 Combine like terms: 9.18a + -1.2a = 7.98a -5.78 + 7.98a = 47.3 Solving -5.78 + 7.98a = 47.3 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5.78' to each side of the equation. -5.78 + 5.78 + 7.98a = 47.3 + 5.78 Combine like terms: -5.78 + 5.78 = 0.00 0.00 + 7.98a = 47.3 + 5.78 7.98a = 47.3 + 5.78 Combine like terms: 47.3 + 5.78 = 53.08 7.98a = 53.08 Divide each side by '7.98'. a = 6.651629073 Simplifying a = 6.651629073
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