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Simplifying (545 + 682) + 766 = 545 + [(b + 0) + 766] Combine like terms: 545 + 682 = 1227 (1227) + 766 = 545 + [(b + 0) + 766] 1227 + 766 = 545 + [(b + 0) + 766] Combine like terms: 1227 + 766 = 1993 1993 = 545 + [(b + 0) + 766] Reorder the terms: 1993 = 545 + [(0 + b) + 766] Remove the zero: 1993 = 545 + [(b) + 766] 1993 = 545 + [b + 766] Reorder the terms: 1993 = 545 + [766 + b] Remove brackets around [766 + b] 1993 = 545 + 766 + b Combine like terms: 545 + 766 = 1311 1993 = 1311 + b Solving 1993 = 1311 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 1993 + -1b = 1311 + b + -1b Combine like terms: b + -1b = 0 1993 + -1b = 1311 + 0 1993 + -1b = 1311 Add '-1993' to each side of the equation. 1993 + -1993 + -1b = 1311 + -1993 Combine like terms: 1993 + -1993 = 0 0 + -1b = 1311 + -1993 -1b = 1311 + -1993 Combine like terms: 1311 + -1993 = -682 -1b = -682 Divide each side by '-1'. b = 682 Simplifying b = 682
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