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Simplifying 0.083a + -0.3 = 0.50a + 0.50 Reorder the terms: -0.3 + 0.083a = 0.50a + 0.50 Reorder the terms: -0.3 + 0.083a = 0.50 + 0.50a Solving -0.3 + 0.083a = 0.50 + 0.50a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.50a' to each side of the equation. -0.3 + 0.083a + -0.50a = 0.50 + 0.50a + -0.50a Combine like terms: 0.083a + -0.50a = -0.417a -0.3 + -0.417a = 0.50 + 0.50a + -0.50a Combine like terms: 0.50a + -0.50a = 0.00 -0.3 + -0.417a = 0.50 + 0.00 -0.3 + -0.417a = 0.50 Add '0.3' to each side of the equation. -0.3 + 0.3 + -0.417a = 0.50 + 0.3 Combine like terms: -0.3 + 0.3 = 0.0 0.0 + -0.417a = 0.50 + 0.3 -0.417a = 0.50 + 0.3 Combine like terms: 0.50 + 0.3 = 0.8 -0.417a = 0.8 Divide each side by '-0.417'. a = -1.918465228 Simplifying a = -1.918465228
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