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Simplifying 21 + 7b = -8b + -3(-6b + -5) Reorder the terms: 21 + 7b = -8b + -3(-5 + -6b) 21 + 7b = -8b + (-5 * -3 + -6b * -3) 21 + 7b = -8b + (15 + 18b) Reorder the terms: 21 + 7b = 15 + -8b + 18b Combine like terms: -8b + 18b = 10b 21 + 7b = 15 + 10b Solving 21 + 7b = 15 + 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 = 15 + 10b + -10b Combine like terms: 7b + -10b = -3b 21 + -3b = 15 + 10b + -10b Combine like terms: 10b + -10b = 0 21 + -3b = 15 + 0 21 + -3b = 15 Add '-21' to each side of the equation. 21 + -21 + -3b = 15 + -21 Combine like terms: 21 + -21 = 0 0 + -3b = 15 + -21 -3b = 15 + -21 Combine like terms: 15 + -21 = -6 -3b = -6 Divide each side by '-3'. b = 2 Simplifying b = 2
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