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Simplifying a + (a + 1) + (a + 2) = 2a + 12 Reorder the terms: a + (1 + a) + (a + 2) = 2a + 12 Remove parenthesis around (1 + a) a + 1 + a + (a + 2) = 2a + 12 Reorder the terms: a + 1 + a + (2 + a) = 2a + 12 Remove parenthesis around (2 + a) a + 1 + a + 2 + a = 2a + 12 Reorder the terms: 1 + 2 + a + a + a = 2a + 12 Combine like terms: 1 + 2 = 3 3 + a + a + a = 2a + 12 Combine like terms: a + a = 2a 3 + 2a + a = 2a + 12 Combine like terms: 2a + a = 3a 3 + 3a = 2a + 12 Reorder the terms: 3 + 3a = 12 + 2a Solving 3 + 3a = 12 + 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. 3 + 3a + -2a = 12 + 2a + -2a Combine like terms: 3a + -2a = 1a 3 + 1a = 12 + 2a + -2a Combine like terms: 2a + -2a = 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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