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Simplifying 3(b + 7) = 2b + -1 Reorder the terms: 3(7 + b) = 2b + -1 (7 * 3 + b * 3) = 2b + -1 (21 + 3b) = 2b + -1 Reorder the terms: 21 + 3b = -1 + 2b Solving 21 + 3b = -1 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 21 + 3b + -2b = -1 + 2b + -2b Combine like terms: 3b + -2b = 1b 21 + 1b = -1 + 2b + -2b Combine like terms: 2b + -2b = 0 21 + 1b = -1 + 0 21 + 1b = -1 Add '-21' to each side of the equation. 21 + -21 + 1b = -1 + -21 Combine like terms: 21 + -21 = 0 0 + 1b = -1 + -21 1b = -1 + -21 Combine like terms: -1 + -21 = -22 1b = -22 Divide each side by '1'. b = -22 Simplifying b = -22
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