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Simplifying 21 + -8b = 5b + 5(1 + -3b) 21 + -8b = 5b + (1 * 5 + -3b * 5) 21 + -8b = 5b + (5 + -15b) Reorder the terms: 21 + -8b = 5 + 5b + -15b Combine like terms: 5b + -15b = -10b 21 + -8b = 5 + -10b Solving 21 + -8b = 5 + -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 + -8b + 10b = 5 + -10b + 10b Combine like terms: -8b + 10b = 2b 21 + 2b = 5 + -10b + 10b Combine like terms: -10b + 10b = 0 21 + 2b = 5 + 0 21 + 2b = 5 Add '-21' to each side of the equation. 21 + -21 + 2b = 5 + -21 Combine like terms: 21 + -21 = 0 0 + 2b = 5 + -21 2b = 5 + -21 Combine like terms: 5 + -21 = -16 2b = -16 Divide each side by '2'. b = -8 Simplifying b = -8
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