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Simplifying a + (a + 1) + (a + 2) = 2(a + 1) + 12 Reorder the terms: a + (1 + a) + (a + 2) = 2(a + 1) + 12 Remove parenthesis around (1 + a) a + 1 + a + (a + 2) = 2(a + 1) + 12 Reorder the terms: a + 1 + a + (2 + a) = 2(a + 1) + 12 Remove parenthesis around (2 + a) a + 1 + a + 2 + a = 2(a + 1) + 12 Reorder the terms: 1 + 2 + a + a + a = 2(a + 1) + 12 Combine like terms: 1 + 2 = 3 3 + a + a + a = 2(a + 1) + 12 Combine like terms: a + a = 2a 3 + 2a + a = 2(a + 1) + 12 Combine like terms: 2a + a = 3a 3 + 3a = 2(a + 1) + 12 Reorder the terms: 3 + 3a = 2(1 + a) + 12 3 + 3a = (1 * 2 + a * 2) + 12 3 + 3a = (2 + 2a) + 12 Reorder the terms: 3 + 3a = 2 + 12 + 2a Combine like terms: 2 + 12 = 14 3 + 3a = 14 + 2a Solving 3 + 3a = 14 + 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 = 14 + 2a + -2a Combine like terms: 3a + -2a = 1a 3 + 1a = 14 + 2a + -2a Combine like terms: 2a + -2a = 0 3 + 1a = 14 + 0 3 + 1a = 14 Add '-3' to each side of the equation. 3 + -3 + 1a = 14 + -3 Combine like terms: 3 + -3 = 0 0 + 1a = 14 + -3 1a = 14 + -3 Combine like terms: 14 + -3 = 11 1a = 11 Divide each side by '1'. a = 11 Simplifying a = 11
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