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Simplifying 0.25a + -0.8 = 0.15a + 1 + -0.5a Reorder the terms: -0.8 + 0.25a = 0.15a + 1 + -0.5a Reorder the terms: -0.8 + 0.25a = 1 + 0.15a + -0.5a Combine like terms: 0.15a + -0.5a = -0.35a -0.8 + 0.25a = 1 + -0.35a Solving -0.8 + 0.25a = 1 + -0.35a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.35a' to each side of the equation. -0.8 + 0.25a + 0.35a = 1 + -0.35a + 0.35a Combine like terms: 0.25a + 0.35a = 0.6a -0.8 + 0.6a = 1 + -0.35a + 0.35a Combine like terms: -0.35a + 0.35a = 0.00 -0.8 + 0.6a = 1 + 0.00 -0.8 + 0.6a = 1 Add '0.8' to each side of the equation. -0.8 + 0.8 + 0.6a = 1 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 0.6a = 1 + 0.8 0.6a = 1 + 0.8 Combine like terms: 1 + 0.8 = 1.8 0.6a = 1.8 Divide each side by '0.6'. a = 3 Simplifying a = 3
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