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Simplifying 0.9 + 7a + -0.6 + -6a + 0.5 = 0 Reorder the terms: 0.9 + -0.6 + 0.5 + 7a + -6a = 0 Combine like terms: 0.9 + -0.6 = 0.3 0.3 + 0.5 + 7a + -6a = 0 Combine like terms: 0.3 + 0.5 = 0.8 0.8 + 7a + -6a = 0 Combine like terms: 7a + -6a = 1a 0.8 + 1a = 0 Solving 0.8 + 1a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.8' to each side of the equation. 0.8 + -0.8 + 1a = 0 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 1a = 0 + -0.8 1a = 0 + -0.8 Combine like terms: 0 + -0.8 = -0.8 1a = -0.8 Divide each side by '1'. a = -0.8 Simplifying a = -0.8
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