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Simplifying 3(1.5a + 6.4) + -2(4.8 + -1a) = 29.36 Reorder the terms: 3(6.4 + 1.5a) + -2(4.8 + -1a) = 29.36 (6.4 * 3 + 1.5a * 3) + -2(4.8 + -1a) = 29.36 (19.2 + 4.5a) + -2(4.8 + -1a) = 29.36 19.2 + 4.5a + (4.8 * -2 + -1a * -2) = 29.36 19.2 + 4.5a + (-9.6 + 2a) = 29.36 Reorder the terms: 19.2 + -9.6 + 4.5a + 2a = 29.36 Combine like terms: 19.2 + -9.6 = 9.6 9.6 + 4.5a + 2a = 29.36 Combine like terms: 4.5a + 2a = 6.5a 9.6 + 6.5a = 29.36 Solving 9.6 + 6.5a = 29.36 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9.6' to each side of the equation. 9.6 + -9.6 + 6.5a = 29.36 + -9.6 Combine like terms: 9.6 + -9.6 = 0.0 0.0 + 6.5a = 29.36 + -9.6 6.5a = 29.36 + -9.6 Combine like terms: 29.36 + -9.6 = 19.76 6.5a = 19.76 Divide each side by '6.5'. a = 3.04 Simplifying a = 3.04
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