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Simplifying 8 + 6a = -2a + 37 Reorder the terms: 8 + 6a = 37 + -2a Solving 8 + 6a = 37 + -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. 8 + 6a + 2a = 37 + -2a + 2a Combine like terms: 6a + 2a = 8a 8 + 8a = 37 + -2a + 2a Combine like terms: -2a + 2a = 0 8 + 8a = 37 + 0 8 + 8a = 37 Add '-8' to each side of the equation. 8 + -8 + 8a = 37 + -8 Combine like terms: 8 + -8 = 0 0 + 8a = 37 + -8 8a = 37 + -8 Combine like terms: 37 + -8 = 29 8a = 29 Divide each side by '8'. a = 3.625 Simplifying a = 3.625
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