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Simplifying 0.6a + -1.6 = 0.2a + 0.4 Reorder the terms: -1.6 + 0.6a = 0.2a + 0.4 Reorder the terms: -1.6 + 0.6a = 0.4 + 0.2a Solving -1.6 + 0.6a = 0.4 + 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. -1.6 + 0.6a + -0.2a = 0.4 + 0.2a + -0.2a Combine like terms: 0.6a + -0.2a = 0.4a -1.6 + 0.4a = 0.4 + 0.2a + -0.2a Combine like terms: 0.2a + -0.2a = 0.0 -1.6 + 0.4a = 0.4 + 0.0 -1.6 + 0.4a = 0.4 Add '1.6' to each side of the equation. -1.6 + 1.6 + 0.4a = 0.4 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + 0.4a = 0.4 + 1.6 0.4a = 0.4 + 1.6 Combine like terms: 0.4 + 1.6 = 2 0.4a = 2 Divide each side by '0.4'. a = 5 Simplifying a = 5
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