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Simplifying 0.3a + -2.8 = 3.2 + -0.2a Reorder the terms: -2.8 + 0.3a = 3.2 + -0.2a Solving -2.8 + 0.3a = 3.2 + -0.2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.2a' to each side of the equation. -2.8 + 0.3a + 0.2a = 3.2 + -0.2a + 0.2a Combine like terms: 0.3a + 0.2a = 0.5a -2.8 + 0.5a = 3.2 + -0.2a + 0.2a Combine like terms: -0.2a + 0.2a = 0.0 -2.8 + 0.5a = 3.2 + 0.0 -2.8 + 0.5a = 3.2 Add '2.8' to each side of the equation. -2.8 + 2.8 + 0.5a = 3.2 + 2.8 Combine like terms: -2.8 + 2.8 = 0.0 0.0 + 0.5a = 3.2 + 2.8 0.5a = 3.2 + 2.8 Combine like terms: 3.2 + 2.8 = 6 0.5a = 6 Divide each side by '0.5'. a = 12 Simplifying a = 12
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