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Simplifying 6(a + 2) = 3(a + 3) Reorder the terms: 6(2 + a) = 3(a + 3) (2 * 6 + a * 6) = 3(a + 3) (12 + 6a) = 3(a + 3) Reorder the terms: 12 + 6a = 3(3 + a) 12 + 6a = (3 * 3 + a * 3) 12 + 6a = (9 + 3a) Solving 12 + 6a = 9 + 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. 12 + 6a + -3a = 9 + 3a + -3a Combine like terms: 6a + -3a = 3a 12 + 3a = 9 + 3a + -3a Combine like terms: 3a + -3a = 0 12 + 3a = 9 + 0 12 + 3a = 9 Add '-12' to each side of the equation. 12 + -12 + 3a = 9 + -12 Combine like terms: 12 + -12 = 0 0 + 3a = 9 + -12 3a = 9 + -12 Combine like terms: 9 + -12 = -3 3a = -3 Divide each side by '3'. a = -1 Simplifying a = -1
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