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Simplifying a + (b + 12) = (b + 12) + 8 Reorder the terms: a + (12 + b) = (b + 12) + 8 Remove parenthesis around (12 + b) a + 12 + b = (b + 12) + 8 Reorder the terms: 12 + a + b = (b + 12) + 8 Reorder the terms: 12 + a + b = (12 + b) + 8 Remove parenthesis around (12 + b) 12 + a + b = 12 + b + 8 Reorder the terms: 12 + a + b = 12 + 8 + b Combine like terms: 12 + 8 = 20 12 + a + b = 20 + b Add '-1b' to each side of the equation. 12 + a + b + -1b = 20 + b + -1b Combine like terms: b + -1b = 0 12 + a + 0 = 20 + b + -1b 12 + a = 20 + b + -1b Combine like terms: b + -1b = 0 12 + a = 20 + 0 12 + a = 20 Solving 12 + a = 20 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + a = 20 + -12 Combine like terms: 12 + -12 = 0 0 + a = 20 + -12 a = 20 + -12 Combine like terms: 20 + -12 = 8 a = 8 Simplifying a = 8
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