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Simplifying 3(a + 2) = 6a + 9 Reorder the terms: 3(2 + a) = 6a + 9 (2 * 3 + a * 3) = 6a + 9 (6 + 3a) = 6a + 9 Reorder the terms: 6 + 3a = 9 + 6a Solving 6 + 3a = 9 + 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. 6 + 3a + -6a = 9 + 6a + -6a Combine like terms: 3a + -6a = -3a 6 + -3a = 9 + 6a + -6a Combine like terms: 6a + -6a = 0 6 + -3a = 9 + 0 6 + -3a = 9 Add '-6' to each side of the equation. 6 + -6 + -3a = 9 + -6 Combine like terms: 6 + -6 = 0 0 + -3a = 9 + -6 -3a = 9 + -6 Combine like terms: 9 + -6 = 3 -3a = 3 Divide each side by '-3'. a = -1 Simplifying a = -1
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