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