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