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Simplifying 3.2 + 0.3a = 0.2a + 1.4 Reorder the terms: 3.2 + 0.3a = 1.4 + 0.2a Solving 3.2 + 0.3a = 1.4 + 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. 3.2 + 0.3a + -0.2a = 1.4 + 0.2a + -0.2a Combine like terms: 0.3a + -0.2a = 0.1a 3.2 + 0.1a = 1.4 + 0.2a + -0.2a Combine like terms: 0.2a + -0.2a = 0.0 3.2 + 0.1a = 1.4 + 0.0 3.2 + 0.1a = 1.4 Add '-3.2' to each side of the equation. 3.2 + -3.2 + 0.1a = 1.4 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + 0.1a = 1.4 + -3.2 0.1a = 1.4 + -3.2 Combine like terms: 1.4 + -3.2 = -1.8 0.1a = -1.8 Divide each side by '0.1'. a = -18 Simplifying a = -18
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