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Simplifying 2b + -7(3 + -1b) = b + 3 2b + (3 * -7 + -1b * -7) = b + 3 2b + (-21 + 7b) = b + 3 Reorder the terms: -21 + 2b + 7b = b + 3 Combine like terms: 2b + 7b = 9b -21 + 9b = b + 3 Reorder the terms: -21 + 9b = 3 + b Solving -21 + 9b = 3 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. -21 + 9b + -1b = 3 + b + -1b Combine like terms: 9b + -1b = 8b -21 + 8b = 3 + b + -1b Combine like terms: b + -1b = 0 -21 + 8b = 3 + 0 -21 + 8b = 3 Add '21' to each side of the equation. -21 + 21 + 8b = 3 + 21 Combine like terms: -21 + 21 = 0 0 + 8b = 3 + 21 8b = 3 + 21 Combine like terms: 3 + 21 = 24 8b = 24 Divide each side by '8'. b = 3 Simplifying b = 3
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