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Simplifying -3a + 6 + 5a = 7a + -8a Reorder the terms: 6 + -3a + 5a = 7a + -8a Combine like terms: -3a + 5a = 2a 6 + 2a = 7a + -8a Combine like terms: 7a + -8a = -1a 6 + 2a = -1a Solving 6 + 2a = -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 6 + 2a + a = -1a + a Combine like terms: 2a + a = 3a 6 + 3a = -1a + a Combine like terms: -1a + a = 0 6 + 3a = 0 Add '-6' to each side of the equation. 6 + -6 + 3a = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 3a = 0 + -6 3a = 0 + -6 Combine like terms: 0 + -6 = -6 3a = -6 Divide each side by '3'. a = -2 Simplifying a = -2
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