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Simplifying 3a + -8 = 10 + -6a Reorder the terms: -8 + 3a = 10 + -6a Solving -8 + 3a = 10 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. -8 + 3a + 6a = 10 + -6a + 6a Combine like terms: 3a + 6a = 9a -8 + 9a = 10 + -6a + 6a Combine like terms: -6a + 6a = 0 -8 + 9a = 10 + 0 -8 + 9a = 10 Add '8' to each side of the equation. -8 + 8 + 9a = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 9a = 10 + 8 9a = 10 + 8 Combine like terms: 10 + 8 = 18 9a = 18 Divide each side by '9'. a = 2 Simplifying a = 2
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