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Simplifying (a + 2) + 13 + 9 + 11 + 23 + (b + -8) = 13 Reorder the terms: (2 + a) + 13 + 9 + 11 + 23 + (b + -8) = 13 Remove parenthesis around (2 + a) 2 + a + 13 + 9 + 11 + 23 + (b + -8) = 13 Reorder the terms: 2 + a + 13 + 9 + 11 + 23 + (-8 + b) = 13 Remove parenthesis around (-8 + b) 2 + a + 13 + 9 + 11 + 23 + -8 + b = 13 Reorder the terms: 2 + 13 + 9 + 11 + 23 + -8 + a + b = 13 Combine like terms: 2 + 13 = 15 15 + 9 + 11 + 23 + -8 + a + b = 13 Combine like terms: 15 + 9 = 24 24 + 11 + 23 + -8 + a + b = 13 Combine like terms: 24 + 11 = 35 35 + 23 + -8 + a + b = 13 Combine like terms: 35 + 23 = 58 58 + -8 + a + b = 13 Combine like terms: 58 + -8 = 50 50 + a + b = 13 Solving 50 + a + b = 13 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + a + -50 + b = 13 + -50 Reorder the terms: 50 + -50 + a + b = 13 + -50 Combine like terms: 50 + -50 = 0 0 + a + b = 13 + -50 a + b = 13 + -50 Combine like terms: 13 + -50 = -37 a + b = -37 Add '-1b' to each side of the equation. a + b + -1b = -37 + -1b Combine like terms: b + -1b = 0 a + 0 = -37 + -1b a = -37 + -1b Simplifying a = -37 + -1b
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