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Simplifying 0.4a + 0.5 = 0.6a + 0.7 + 0.8a Reorder the terms: 0.5 + 0.4a = 0.6a + 0.7 + 0.8a Reorder the terms: 0.5 + 0.4a = 0.7 + 0.6a + 0.8a Combine like terms: 0.6a + 0.8a = 1.4a 0.5 + 0.4a = 0.7 + 1.4a Solving 0.5 + 0.4a = 0.7 + 1.4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1.4a' to each side of the equation. 0.5 + 0.4a + -1.4a = 0.7 + 1.4a + -1.4a Combine like terms: 0.4a + -1.4a = -1a 0.5 + -1a = 0.7 + 1.4a + -1.4a Combine like terms: 1.4a + -1.4a = 0.0 0.5 + -1a = 0.7 + 0.0 0.5 + -1a = 0.7 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -1a = 0.7 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -1a = 0.7 + -0.5 -1a = 0.7 + -0.5 Combine like terms: 0.7 + -0.5 = 0.2 -1a = 0.2 Divide each side by '-1'. a = -0.2 Simplifying a = -0.2
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