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Simplifying 7(3 + -1b) = 2(9 + -5b) (3 * 7 + -1b * 7) = 2(9 + -5b) (21 + -7b) = 2(9 + -5b) 21 + -7b = (9 * 2 + -5b * 2) 21 + -7b = (18 + -10b) Solving 21 + -7b = 18 + -10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10b' to each side of the equation. 21 + -7b + 10b = 18 + -10b + 10b Combine like terms: -7b + 10b = 3b 21 + 3b = 18 + -10b + 10b Combine like terms: -10b + 10b = 0 21 + 3b = 18 + 0 21 + 3b = 18 Add '-21' to each side of the equation. 21 + -21 + 3b = 18 + -21 Combine like terms: 21 + -21 = 0 0 + 3b = 18 + -21 3b = 18 + -21 Combine like terms: 18 + -21 = -3 3b = -3 Divide each side by '3'. b = -1 Simplifying b = -1
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