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Simplifying 3(a + 3) + 4 = 2(a + 2) Reorder the terms: 3(3 + a) + 4 = 2(a + 2) (3 * 3 + a * 3) + 4 = 2(a + 2) (9 + 3a) + 4 = 2(a + 2) Reorder the terms: 9 + 4 + 3a = 2(a + 2) Combine like terms: 9 + 4 = 13 13 + 3a = 2(a + 2) Reorder the terms: 13 + 3a = 2(2 + a) 13 + 3a = (2 * 2 + a * 2) 13 + 3a = (4 + 2a) Solving 13 + 3a = 4 + 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. 13 + 3a + -2a = 4 + 2a + -2a Combine like terms: 3a + -2a = 1a 13 + 1a = 4 + 2a + -2a Combine like terms: 2a + -2a = 0 13 + 1a = 4 + 0 13 + 1a = 4 Add '-13' to each side of the equation. 13 + -13 + 1a = 4 + -13 Combine like terms: 13 + -13 = 0 0 + 1a = 4 + -13 1a = 4 + -13 Combine like terms: 4 + -13 = -9 1a = -9 Divide each side by '1'. a = -9 Simplifying a = -9
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