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Simplifying -0.3a + -0.5a + 8 = 0.8a + q Reorder the terms: 8 + -0.3a + -0.5a = 0.8a + q Combine like terms: -0.3a + -0.5a = -0.8a 8 + -0.8a = 0.8a + q Solving 8 + -0.8a = 0.8a + q Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.8a' to each side of the equation. 8 + -0.8a + -0.8a = 0.8a + -0.8a + q Combine like terms: -0.8a + -0.8a = -1.6a 8 + -1.6a = 0.8a + -0.8a + q Combine like terms: 0.8a + -0.8a = 0.0 8 + -1.6a = 0.0 + q 8 + -1.6a = q Add '-8' to each side of the equation. 8 + -8 + -1.6a = -8 + q Combine like terms: 8 + -8 = 0 0 + -1.6a = -8 + q -1.6a = -8 + q Divide each side by '-1.6'. a = 5 + -0.625q Simplifying a = 5 + -0.625q
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