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Simplifying a + (a + 18) = 84 Reorder the terms: a + (18 + a) = 84 Remove parenthesis around (18 + a) a + 18 + a = 84 Reorder the terms: 18 + a + a = 84 Combine like terms: a + a = 2a 18 + 2a = 84 Solving 18 + 2a = 84 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 2a = 84 + -18 Combine like terms: 18 + -18 = 0 0 + 2a = 84 + -18 2a = 84 + -18 Combine like terms: 84 + -18 = 66 2a = 66 Divide each side by '2'. a = 33 Simplifying a = 33
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