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Simplifying 1.8a + 1.4 + 0.7a = 7.4 + 0.5a Reorder the terms: 1.4 + 1.8a + 0.7a = 7.4 + 0.5a Combine like terms: 1.8a + 0.7a = 2.5a 1.4 + 2.5a = 7.4 + 0.5a Solving 1.4 + 2.5a = 7.4 + 0.5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.5a' to each side of the equation. 1.4 + 2.5a + -0.5a = 7.4 + 0.5a + -0.5a Combine like terms: 2.5a + -0.5a = 2a 1.4 + 2a = 7.4 + 0.5a + -0.5a Combine like terms: 0.5a + -0.5a = 0.0 1.4 + 2a = 7.4 + 0.0 1.4 + 2a = 7.4 Add '-1.4' to each side of the equation. 1.4 + -1.4 + 2a = 7.4 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + 2a = 7.4 + -1.4 2a = 7.4 + -1.4 Combine like terms: 7.4 + -1.4 = 6 2a = 6 Divide each side by '2'. a = 3 Simplifying a = 3
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