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Simplifying 7(b + 3) + 2b + -4 = 35 Reorder the terms: 7(3 + b) + 2b + -4 = 35 (3 * 7 + b * 7) + 2b + -4 = 35 (21 + 7b) + 2b + -4 = 35 Reorder the terms: 21 + -4 + 7b + 2b = 35 Combine like terms: 21 + -4 = 17 17 + 7b + 2b = 35 Combine like terms: 7b + 2b = 9b 17 + 9b = 35 Solving 17 + 9b = 35 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 9b = 35 + -17 Combine like terms: 17 + -17 = 0 0 + 9b = 35 + -17 9b = 35 + -17 Combine like terms: 35 + -17 = 18 9b = 18 Divide each side by '9'. b = 2 Simplifying b = 2
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