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Simplifying -0.3a + -0.5a + 8 = 0.8 + 12 Reorder the terms: 8 + -0.3a + -0.5a = 0.8 + 12 Combine like terms: -0.3a + -0.5a = -0.8a 8 + -0.8a = 0.8 + 12 Combine like terms: 0.8 + 12 = 12.8 8 + -0.8a = 12.8 Solving 8 + -0.8a = 12.8 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -0.8a = 12.8 + -8 Combine like terms: 8 + -8 = 0 0 + -0.8a = 12.8 + -8 -0.8a = 12.8 + -8 Combine like terms: 12.8 + -8 = 4.8 -0.8a = 4.8 Divide each side by '-0.8'. a = -6 Simplifying a = -6
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