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Simplifying 6a = 3(a + 4) + -1a Reorder the terms: 6a = 3(4 + a) + -1a 6a = (4 * 3 + a * 3) + -1a 6a = (12 + 3a) + -1a Combine like terms: 3a + -1a = 2a 6a = 12 + 2a Solving 6a = 12 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 6a + -2a = 12 + 2a + -2a Combine like terms: 6a + -2a = 4a 4a = 12 + 2a + -2a Combine like terms: 2a + -2a = 0 4a = 12 + 0 4a = 12 Divide each side by '4'. a = 3 Simplifying a = 3
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