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Simplifying 180 = (2a + 6) + (7a + 3) Reorder the terms: 180 = (6 + 2a) + (7a + 3) Remove parenthesis around (6 + 2a) 180 = 6 + 2a + (7a + 3) Reorder the terms: 180 = 6 + 2a + (3 + 7a) Remove parenthesis around (3 + 7a) 180 = 6 + 2a + 3 + 7a Reorder the terms: 180 = 6 + 3 + 2a + 7a Combine like terms: 6 + 3 = 9 180 = 9 + 2a + 7a Combine like terms: 2a + 7a = 9a 180 = 9 + 9a Solving 180 = 9 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 180 + -9a = 9 + 9a + -9a Combine like terms: 9a + -9a = 0 180 + -9a = 9 + 0 180 + -9a = 9 Add '-180' to each side of the equation. 180 + -180 + -9a = 9 + -180 Combine like terms: 180 + -180 = 0 0 + -9a = 9 + -180 -9a = 9 + -180 Combine like terms: 9 + -180 = -171 -9a = -171 Divide each side by '-9'. a = 19 Simplifying a = 19
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