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Simplifying -3a + 6 + 5a = 7 + -8a Reorder the terms: 6 + -3a + 5a = 7 + -8a Combine like terms: -3a + 5a = 2a 6 + 2a = 7 + -8a Solving 6 + 2a = 7 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. 6 + 2a + 8a = 7 + -8a + 8a Combine like terms: 2a + 8a = 10a 6 + 10a = 7 + -8a + 8a Combine like terms: -8a + 8a = 0 6 + 10a = 7 + 0 6 + 10a = 7 Add '-6' to each side of the equation. 6 + -6 + 10a = 7 + -6 Combine like terms: 6 + -6 = 0 0 + 10a = 7 + -6 10a = 7 + -6 Combine like terms: 7 + -6 = 1 10a = 1 Divide each side by '10'. a = 0.1 Simplifying a = 0.1
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