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Simplifying 0.4a + 2 = 1.1a + -6.4 Reorder the terms: 2 + 0.4a = 1.1a + -6.4 Reorder the terms: 2 + 0.4a = -6.4 + 1.1a Solving 2 + 0.4a = -6.4 + 1.1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1.1a' to each side of the equation. 2 + 0.4a + -1.1a = -6.4 + 1.1a + -1.1a Combine like terms: 0.4a + -1.1a = -0.7a 2 + -0.7a = -6.4 + 1.1a + -1.1a Combine like terms: 1.1a + -1.1a = 0.0 2 + -0.7a = -6.4 + 0.0 2 + -0.7a = -6.4 Add '-2' to each side of the equation. 2 + -2 + -0.7a = -6.4 + -2 Combine like terms: 2 + -2 = 0 0 + -0.7a = -6.4 + -2 -0.7a = -6.4 + -2 Combine like terms: -6.4 + -2 = -8.4 -0.7a = -8.4 Divide each side by '-0.7'. a = 12 Simplifying a = 12
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