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Simplifying 8a + -2.9 = 6a + 4.1 Reorder the terms: -2.9 + 8a = 6a + 4.1 Reorder the terms: -2.9 + 8a = 4.1 + 6a Solving -2.9 + 8a = 4.1 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -2.9 + 8a + -6a = 4.1 + 6a + -6a Combine like terms: 8a + -6a = 2a -2.9 + 2a = 4.1 + 6a + -6a Combine like terms: 6a + -6a = 0 -2.9 + 2a = 4.1 + 0 -2.9 + 2a = 4.1 Add '2.9' to each side of the equation. -2.9 + 2.9 + 2a = 4.1 + 2.9 Combine like terms: -2.9 + 2.9 = 0.0 0.0 + 2a = 4.1 + 2.9 2a = 4.1 + 2.9 Combine like terms: 4.1 + 2.9 = 7 2a = 7 Divide each side by '2'. a = 3.5 Simplifying a = 3.5
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