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Simplifying 0.9a + 0.5 = -3.5 + 0.4a Reorder the terms: 0.5 + 0.9a = -3.5 + 0.4a Solving 0.5 + 0.9a = -3.5 + 0.4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.4a' to each side of the equation. 0.5 + 0.9a + -0.4a = -3.5 + 0.4a + -0.4a Combine like terms: 0.9a + -0.4a = 0.5a 0.5 + 0.5a = -3.5 + 0.4a + -0.4a Combine like terms: 0.4a + -0.4a = 0.0 0.5 + 0.5a = -3.5 + 0.0 0.5 + 0.5a = -3.5 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 0.5a = -3.5 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.5a = -3.5 + -0.5 0.5a = -3.5 + -0.5 Combine like terms: -3.5 + -0.5 = -4 0.5a = -4 Divide each side by '0.5'. a = -8 Simplifying a = -8
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