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