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Simplifying 180 = (a + 16) + (a + -18) Reorder the terms: 180 = (16 + a) + (a + -18) Remove parenthesis around (16 + a) 180 = 16 + a + (a + -18) Reorder the terms: 180 = 16 + a + (-18 + a) Remove parenthesis around (-18 + a) 180 = 16 + a + -18 + a Reorder the terms: 180 = 16 + -18 + a + a Combine like terms: 16 + -18 = -2 180 = -2 + a + a Combine like terms: a + a = 2a 180 = -2 + 2a Solving 180 = -2 + 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. 180 + -2a = -2 + 2a + -2a Combine like terms: 2a + -2a = 0 180 + -2a = -2 + 0 180 + -2a = -2 Add '-180' to each side of the equation. 180 + -180 + -2a = -2 + -180 Combine like terms: 180 + -180 = 0 0 + -2a = -2 + -180 -2a = -2 + -180 Combine like terms: -2 + -180 = -182 -2a = -182 Divide each side by '-2'. a = 91 Simplifying a = 91
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