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Simplifying 3(2a + 7) = 3a + 12 Reorder the terms: 3(7 + 2a) = 3a + 12 (7 * 3 + 2a * 3) = 3a + 12 (21 + 6a) = 3a + 12 Reorder the terms: 21 + 6a = 12 + 3a Solving 21 + 6a = 12 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 21 + 6a + -3a = 12 + 3a + -3a Combine like terms: 6a + -3a = 3a 21 + 3a = 12 + 3a + -3a Combine like terms: 3a + -3a = 0 21 + 3a = 12 + 0 21 + 3a = 12 Add '-21' to each side of the equation. 21 + -21 + 3a = 12 + -21 Combine like terms: 21 + -21 = 0 0 + 3a = 12 + -21 3a = 12 + -21 Combine like terms: 12 + -21 = -9 3a = -9 Divide each side by '3'. a = -3 Simplifying a = -3
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