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Simplifying 3(7 + 2b) = 30 + 7(b + -1) (7 * 3 + 2b * 3) = 30 + 7(b + -1) (21 + 6b) = 30 + 7(b + -1) Reorder the terms: 21 + 6b = 30 + 7(-1 + b) 21 + 6b = 30 + (-1 * 7 + b * 7) 21 + 6b = 30 + (-7 + 7b) Combine like terms: 30 + -7 = 23 21 + 6b = 23 + 7b Solving 21 + 6b = 23 + 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. 21 + 6b + -7b = 23 + 7b + -7b Combine like terms: 6b + -7b = -1b 21 + -1b = 23 + 7b + -7b Combine like terms: 7b + -7b = 0 21 + -1b = 23 + 0 21 + -1b = 23 Add '-21' to each side of the equation. 21 + -21 + -1b = 23 + -21 Combine like terms: 21 + -21 = 0 0 + -1b = 23 + -21 -1b = 23 + -21 Combine like terms: 23 + -21 = 2 -1b = 2 Divide each side by '-1'. b = -2 Simplifying b = -2
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