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Simplifying 0.5(2.3 + -1a) + 6a = 0 (2.3 * 0.5 + -1a * 0.5) + 6a = 0 (1.15 + -0.5a) + 6a = 0 Combine like terms: -0.5a + 6a = 5.5a 1.15 + 5.5a = 0 Solving 1.15 + 5.5a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1.15' to each side of the equation. 1.15 + -1.15 + 5.5a = 0 + -1.15 Combine like terms: 1.15 + -1.15 = 0.00 0.00 + 5.5a = 0 + -1.15 5.5a = 0 + -1.15 Combine like terms: 0 + -1.15 = -1.15 5.5a = -1.15 Divide each side by '5.5'. a = -0.2090909091 Simplifying a = -0.2090909091
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