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Simplifying 2b + 10(8 + 3b) = 12(b + 10) 2b + (8 * 10 + 3b * 10) = 12(b + 10) 2b + (80 + 30b) = 12(b + 10) Reorder the terms: 80 + 2b + 30b = 12(b + 10) Combine like terms: 2b + 30b = 32b 80 + 32b = 12(b + 10) Reorder the terms: 80 + 32b = 12(10 + b) 80 + 32b = (10 * 12 + b * 12) 80 + 32b = (120 + 12b) Solving 80 + 32b = 120 + 12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. 80 + 32b + -12b = 120 + 12b + -12b Combine like terms: 32b + -12b = 20b 80 + 20b = 120 + 12b + -12b Combine like terms: 12b + -12b = 0 80 + 20b = 120 + 0 80 + 20b = 120 Add '-80' to each side of the equation. 80 + -80 + 20b = 120 + -80 Combine like terms: 80 + -80 = 0 0 + 20b = 120 + -80 20b = 120 + -80 Combine like terms: 120 + -80 = 40 20b = 40 Divide each side by '20'. b = 2 Simplifying b = 2
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