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Simplifying 1 + 2(a + 1) = 3(a + 4) Reorder the terms: 1 + 2(1 + a) = 3(a + 4) 1 + (1 * 2 + a * 2) = 3(a + 4) 1 + (2 + 2a) = 3(a + 4) Combine like terms: 1 + 2 = 3 3 + 2a = 3(a + 4) Reorder the terms: 3 + 2a = 3(4 + a) 3 + 2a = (4 * 3 + a * 3) 3 + 2a = (12 + 3a) Solving 3 + 2a = 12 + 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. 3 + 2a + -3a = 12 + 3a + -3a Combine like terms: 2a + -3a = -1a 3 + -1a = 12 + 3a + -3a Combine like terms: 3a + -3a = 0 3 + -1a = 12 + 0 3 + -1a = 12 Add '-3' to each side of the equation. 3 + -3 + -1a = 12 + -3 Combine like terms: 3 + -3 = 0 0 + -1a = 12 + -3 -1a = 12 + -3 Combine like terms: 12 + -3 = 9 -1a = 9 Divide each side by '-1'. a = -9 Simplifying a = -9
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