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