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Simplifying 3(a + 3) = 2(a + 4) Reorder the terms: 3(3 + a) = 2(a + 4) (3 * 3 + a * 3) = 2(a + 4) (9 + 3a) = 2(a + 4) Reorder the terms: 9 + 3a = 2(4 + a) 9 + 3a = (4 * 2 + a * 2) 9 + 3a = (8 + 2a) Solving 9 + 3a = 8 + 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. 9 + 3a + -2a = 8 + 2a + -2a Combine like terms: 3a + -2a = 1a 9 + 1a = 8 + 2a + -2a Combine like terms: 2a + -2a = 0 9 + 1a = 8 + 0 9 + 1a = 8 Add '-9' to each side of the equation. 9 + -9 + 1a = 8 + -9 Combine like terms: 9 + -9 = 0 0 + 1a = 8 + -9 1a = 8 + -9 Combine like terms: 8 + -9 = -1 1a = -1 Divide each side by '1'. a = -1 Simplifying a = -1
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