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Simplifying 3(b + 6) + 7 = -7b + 35 Reorder the terms: 3(6 + b) + 7 = -7b + 35 (6 * 3 + b * 3) + 7 = -7b + 35 (18 + 3b) + 7 = -7b + 35 Reorder the terms: 18 + 7 + 3b = -7b + 35 Combine like terms: 18 + 7 = 25 25 + 3b = -7b + 35 Reorder the terms: 25 + 3b = 35 + -7b Solving 25 + 3b = 35 + -7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7b' to each side of the equation. 25 + 3b + 7b = 35 + -7b + 7b Combine like terms: 3b + 7b = 10b 25 + 10b = 35 + -7b + 7b Combine like terms: -7b + 7b = 0 25 + 10b = 35 + 0 25 + 10b = 35 Add '-25' to each side of the equation. 25 + -25 + 10b = 35 + -25 Combine like terms: 25 + -25 = 0 0 + 10b = 35 + -25 10b = 35 + -25 Combine like terms: 35 + -25 = 10 10b = 10 Divide each side by '10'. b = 1 Simplifying b = 1
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