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Simplifying 1.5a + 6.2a + 5.1a + 8.7 = 0 Reorder the terms: 8.7 + 1.5a + 6.2a + 5.1a = 0 Combine like terms: 1.5a + 6.2a = 7.7a 8.7 + 7.7a + 5.1a = 0 Combine like terms: 7.7a + 5.1a = 12.8a 8.7 + 12.8a = 0 Solving 8.7 + 12.8a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8.7' to each side of the equation. 8.7 + -8.7 + 12.8a = 0 + -8.7 Combine like terms: 8.7 + -8.7 = 0.0 0.0 + 12.8a = 0 + -8.7 12.8a = 0 + -8.7 Combine like terms: 0 + -8.7 = -8.7 12.8a = -8.7 Divide each side by '12.8'. a = -0.6796875 Simplifying a = -0.6796875
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