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Simplifying 21 = 7(b + 1) Reorder the terms: 21 = 7(1 + b) 21 = (1 * 7 + b * 7) 21 = (7 + 7b) Solving 21 = 7 + 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 + -7b = 7 + 7b + -7b Combine like terms: 7b + -7b = 0 21 + -7b = 7 + 0 21 + -7b = 7 Add '-21' to each side of the equation. 21 + -21 + -7b = 7 + -21 Combine like terms: 21 + -21 = 0 0 + -7b = 7 + -21 -7b = 7 + -21 Combine like terms: 7 + -21 = -14 -7b = -14 Divide each side by '-7'. b = 2 Simplifying b = 2
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