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Simplifying 3.1(5.1 + -5.8a) + 2.5(a + 4.2) = -29.418 (5.1 * 3.1 + -5.8a * 3.1) + 2.5(a + 4.2) = -29.418 (15.81 + -17.98a) + 2.5(a + 4.2) = -29.418 Reorder the terms: 15.81 + -17.98a + 2.5(4.2 + a) = -29.418 15.81 + -17.98a + (4.2 * 2.5 + a * 2.5) = -29.418 15.81 + -17.98a + (10.5 + 2.5a) = -29.418 Reorder the terms: 15.81 + 10.5 + -17.98a + 2.5a = -29.418 Combine like terms: 15.81 + 10.5 = 26.31 26.31 + -17.98a + 2.5a = -29.418 Combine like terms: -17.98a + 2.5a = -15.48a 26.31 + -15.48a = -29.418 Solving 26.31 + -15.48a = -29.418 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-26.31' to each side of the equation. 26.31 + -26.31 + -15.48a = -29.418 + -26.31 Combine like terms: 26.31 + -26.31 = 0.00 0.00 + -15.48a = -29.418 + -26.31 -15.48a = -29.418 + -26.31 Combine like terms: -29.418 + -26.31 = -55.728 -15.48a = -55.728 Divide each side by '-15.48'. a = 3.6 Simplifying a = 3.6
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