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Simplifying 6a + -8 = a + 32 Reorder the terms: -8 + 6a = a + 32 Reorder the terms: -8 + 6a = 32 + a Solving -8 + 6a = 32 + 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. -8 + 6a + -1a = 32 + a + -1a Combine like terms: 6a + -1a = 5a -8 + 5a = 32 + a + -1a Combine like terms: a + -1a = 0 -8 + 5a = 32 + 0 -8 + 5a = 32 Add '8' to each side of the equation. -8 + 8 + 5a = 32 + 8 Combine like terms: -8 + 8 = 0 0 + 5a = 32 + 8 5a = 32 + 8 Combine like terms: 32 + 8 = 40 5a = 40 Divide each side by '5'. a = 8 Simplifying a = 8
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