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Simplifying -0.7a + 0.5 + 0.8a + 0.2 + 0.8a = 0 Reorder the terms: 0.5 + 0.2 + -0.7a + 0.8a + 0.8a = 0 Combine like terms: 0.5 + 0.2 = 0.7 0.7 + -0.7a + 0.8a + 0.8a = 0 Combine like terms: -0.7a + 0.8a = 0.1a 0.7 + 0.1a + 0.8a = 0 Combine like terms: 0.1a + 0.8a = 0.9a 0.7 + 0.9a = 0 Solving 0.7 + 0.9a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.7' to each side of the equation. 0.7 + -0.7 + 0.9a = 0 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + 0.9a = 0 + -0.7 0.9a = 0 + -0.7 Combine like terms: 0 + -0.7 = -0.7 0.9a = -0.7 Divide each side by '0.9'. a = -0.7777777778 Simplifying a = -0.7777777778
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