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Simplifying 3a + 12 = 8 + a Reorder the terms: 12 + 3a = 8 + a Solving 12 + 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. 12 + 3a + -1a = 8 + a + -1a Combine like terms: 3a + -1a = 2a 12 + 2a = 8 + a + -1a Combine like terms: a + -1a = 0 12 + 2a = 8 + 0 12 + 2a = 8 Add '-12' to each side of the equation. 12 + -12 + 2a = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 2a = 8 + -12 2a = 8 + -12 Combine like terms: 8 + -12 = -4 2a = -4 Divide each side by '2'. a = -2 Simplifying a = -2
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