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Simplifying 7(3 + 2b) = -21 + 8b (3 * 7 + 2b * 7) = -21 + 8b (21 + 14b) = -21 + 8b Solving 21 + 14b = -21 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. 21 + 14b + -8b = -21 + 8b + -8b Combine like terms: 14b + -8b = 6b 21 + 6b = -21 + 8b + -8b Combine like terms: 8b + -8b = 0 21 + 6b = -21 + 0 21 + 6b = -21 Add '-21' to each side of the equation. 21 + -21 + 6b = -21 + -21 Combine like terms: 21 + -21 = 0 0 + 6b = -21 + -21 6b = -21 + -21 Combine like terms: -21 + -21 = -42 6b = -42 Divide each side by '6'. b = -7 Simplifying b = -7
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