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Simplifying 6a + 4a + 5 = 8 + -2a Reorder the terms: 5 + 6a + 4a = 8 + -2a Combine like terms: 6a + 4a = 10a 5 + 10a = 8 + -2a Solving 5 + 10a = 8 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 5 + 10a + 2a = 8 + -2a + 2a Combine like terms: 10a + 2a = 12a 5 + 12a = 8 + -2a + 2a Combine like terms: -2a + 2a = 0 5 + 12a = 8 + 0 5 + 12a = 8 Add '-5' to each side of the equation. 5 + -5 + 12a = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 12a = 8 + -5 12a = 8 + -5 Combine like terms: 8 + -5 = 3 12a = 3 Divide each side by '12'. a = 0.25 Simplifying a = 0.25
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