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Simplifying 6.4a + -2.9 = 1.4a + 12.1 Reorder the terms: -2.9 + 6.4a = 1.4a + 12.1 Reorder the terms: -2.9 + 6.4a = 12.1 + 1.4a Solving -2.9 + 6.4a = 12.1 + 1.4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1.4a' to each side of the equation. -2.9 + 6.4a + -1.4a = 12.1 + 1.4a + -1.4a Combine like terms: 6.4a + -1.4a = 5a -2.9 + 5a = 12.1 + 1.4a + -1.4a Combine like terms: 1.4a + -1.4a = 0.0 -2.9 + 5a = 12.1 + 0.0 -2.9 + 5a = 12.1 Add '2.9' to each side of the equation. -2.9 + 2.9 + 5a = 12.1 + 2.9 Combine like terms: -2.9 + 2.9 = 0.0 0.0 + 5a = 12.1 + 2.9 5a = 12.1 + 2.9 Combine like terms: 12.1 + 2.9 = 15 5a = 15 Divide each side by '5'. a = 3 Simplifying a = 3
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