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Simplifying (2b + 1) + b + (10 + -1b) + (b + 1) + [14(10 + -1b)] = 50 Reorder the terms: (1 + 2b) + b + (10 + -1b) + (b + 1) + [14(10 + -1b)] = 50 Remove parenthesis around (1 + 2b) 1 + 2b + b + (10 + -1b) + (b + 1) + [14(10 + -1b)] = 50 Remove parenthesis around (10 + -1b) 1 + 2b + b + 10 + -1b + (b + 1) + [14(10 + -1b)] = 50 Reorder the terms: 1 + 2b + b + 10 + -1b + (1 + b) + [14(10 + -1b)] = 50 Remove parenthesis around (1 + b) 1 + 2b + b + 10 + -1b + 1 + b + [14(10 + -1b)] = 50 1 + 2b + b + 10 + -1b + 1 + b + [(10 * 14 + -1b * 14)] = 50 1 + 2b + b + 10 + -1b + 1 + b + [(140 + -14b)] = 50 1 + 2b + b + 10 + -1b + 1 + b + [140 + -14b] = 50 Remove brackets around [140 + -14b] 1 + 2b + b + 10 + -1b + 1 + b + 140 + -14b = 50 Reorder the terms: 1 + 10 + 1 + 140 + 2b + b + -1b + b + -14b = 50 Combine like terms: 1 + 10 = 11 11 + 1 + 140 + 2b + b + -1b + b + -14b = 50 Combine like terms: 11 + 1 = 12 12 + 140 + 2b + b + -1b + b + -14b = 50 Combine like terms: 12 + 140 = 152 152 + 2b + b + -1b + b + -14b = 50 Combine like terms: 2b + b = 3b 152 + 3b + -1b + b + -14b = 50 Combine like terms: 3b + -1b = 2b 152 + 2b + b + -14b = 50 Combine like terms: 2b + b = 3b 152 + 3b + -14b = 50 Combine like terms: 3b + -14b = -11b 152 + -11b = 50 Solving 152 + -11b = 50 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-152' to each side of the equation. 152 + -152 + -11b = 50 + -152 Combine like terms: 152 + -152 = 0 0 + -11b = 50 + -152 -11b = 50 + -152 Combine like terms: 50 + -152 = -102 -11b = -102 Divide each side by '-11'. b = 9.272727273 Simplifying b = 9.272727273
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