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Simplifying 7.4a + 2 = 2.5a + 18.66 Reorder the terms: 2 + 7.4a = 2.5a + 18.66 Reorder the terms: 2 + 7.4a = 18.66 + 2.5a Solving 2 + 7.4a = 18.66 + 2.5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2.5a' to each side of the equation. 2 + 7.4a + -2.5a = 18.66 + 2.5a + -2.5a Combine like terms: 7.4a + -2.5a = 4.9a 2 + 4.9a = 18.66 + 2.5a + -2.5a Combine like terms: 2.5a + -2.5a = 0.0 2 + 4.9a = 18.66 + 0.0 2 + 4.9a = 18.66 Add '-2' to each side of the equation. 2 + -2 + 4.9a = 18.66 + -2 Combine like terms: 2 + -2 = 0 0 + 4.9a = 18.66 + -2 4.9a = 18.66 + -2 Combine like terms: 18.66 + -2 = 16.66 4.9a = 16.66 Divide each side by '4.9'. a = 3.4 Simplifying a = 3.4
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