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Simplifying 3a + -6 = 8 + a Reorder the terms: -6 + 3a = 8 + a Solving -6 + 3a = 8 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -6 + 3a + -1a = 8 + a + -1a Combine like terms: 3a + -1a = 2a -6 + 2a = 8 + a + -1a Combine like terms: a + -1a = 0 -6 + 2a = 8 + 0 -6 + 2a = 8 Add '6' to each side of the equation. -6 + 6 + 2a = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 2a = 8 + 6 2a = 8 + 6 Combine like terms: 8 + 6 = 14 2a = 14 Divide each side by '2'. a = 7 Simplifying a = 7
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