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Simplifying (9a + 20 + a) = (13a + 41) Reorder the terms: (20 + 9a + a) = (13a + 41) Combine like terms: 9a + a = 10a (20 + 10a) = (13a + 41) Remove parenthesis around (20 + 10a) 20 + 10a = (13a + 41) Reorder the terms: 20 + 10a = (41 + 13a) Remove parenthesis around (41 + 13a) 20 + 10a = 41 + 13a Solving 20 + 10a = 41 + 13a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13a' to each side of the equation. 20 + 10a + -13a = 41 + 13a + -13a Combine like terms: 10a + -13a = -3a 20 + -3a = 41 + 13a + -13a Combine like terms: 13a + -13a = 0 20 + -3a = 41 + 0 20 + -3a = 41 Add '-20' to each side of the equation. 20 + -20 + -3a = 41 + -20 Combine like terms: 20 + -20 = 0 0 + -3a = 41 + -20 -3a = 41 + -20 Combine like terms: 41 + -20 = 21 -3a = 21 Divide each side by '-3'. a = -7 Simplifying a = -7
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