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Simplifying 0.4a + -6 + 0.5a = -5.73 Reorder the terms: -6 + 0.4a + 0.5a = -5.73 Combine like terms: 0.4a + 0.5a = 0.9a -6 + 0.9a = -5.73 Solving -6 + 0.9a = -5.73 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 0.9a = -5.73 + 6 Combine like terms: -6 + 6 = 0 0 + 0.9a = -5.73 + 6 0.9a = -5.73 + 6 Combine like terms: -5.73 + 6 = 0.27 0.9a = 0.27 Divide each side by '0.9'. a = 0.3 Simplifying a = 0.3
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