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Simplifying (4a * 2) + 2 + (5a * 3) + 1 = 0 Reorder the terms for easier multiplication: (4 * 2a) + 2 + (5a * 3) + 1 = 0 Multiply 4 * 2 (8a) + 2 + (5a * 3) + 1 = 0 Reorder the terms for easier multiplication: (8a) + 2 + (5 * 3a) + 1 = 0 Multiply 5 * 3 (8a) + 2 + (15a) + 1 = 0 Reorder the terms: 2 + 1 + (8a) + (15a) = 0 Combine like terms: 2 + 1 = 3 3 + (8a) + (15a) = 0 Combine like terms: (8a) + (15a) = 23a 3 + 23a = 0 Solving 3 + 23a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 23a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 23a = 0 + -3 23a = 0 + -3 Combine like terms: 0 + -3 = -3 23a = -3 Divide each side by '23'. a = -0.1304347826 Simplifying a = -0.1304347826
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