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Simplifying a + 0.5a + (a + 40) = 180 Reorder the terms: a + 0.5a + (40 + a) = 180 Remove parenthesis around (40 + a) a + 0.5a + 40 + a = 180 Reorder the terms: 40 + a + 0.5a + a = 180 Combine like terms: a + 0.5a = 1.5a 40 + 1.5a + a = 180 Combine like terms: 1.5a + a = 2.5a 40 + 2.5a = 180 Solving 40 + 2.5a = 180 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 2.5a = 180 + -40 Combine like terms: 40 + -40 = 0 0 + 2.5a = 180 + -40 2.5a = 180 + -40 Combine like terms: 180 + -40 = 140 2.5a = 140 Divide each side by '2.5'. a = 56 Simplifying a = 56
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