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Simplifying a + (a + 1) + (a + 2) = 102 Reorder the terms: a + (1 + a) + (a + 2) = 102 Remove parenthesis around (1 + a) a + 1 + a + (a + 2) = 102 Reorder the terms: a + 1 + a + (2 + a) = 102 Remove parenthesis around (2 + a) a + 1 + a + 2 + a = 102 Reorder the terms: 1 + 2 + a + a + a = 102 Combine like terms: 1 + 2 = 3 3 + a + a + a = 102 Combine like terms: a + a = 2a 3 + 2a + a = 102 Combine like terms: 2a + a = 3a 3 + 3a = 102 Solving 3 + 3a = 102 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 3a = 102 + -3 Combine like terms: 3 + -3 = 0 0 + 3a = 102 + -3 3a = 102 + -3 Combine like terms: 102 + -3 = 99 3a = 99 Divide each side by '3'. a = 33 Simplifying a = 33
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