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Simplifying -5b + 21 = 8b + -3(b + -7) Reorder the terms: 21 + -5b = 8b + -3(b + -7) Reorder the terms: 21 + -5b = 8b + -3(-7 + b) 21 + -5b = 8b + (-7 * -3 + b * -3) 21 + -5b = 8b + (21 + -3b) Reorder the terms: 21 + -5b = 21 + 8b + -3b Combine like terms: 8b + -3b = 5b 21 + -5b = 21 + 5b Add '-21' to each side of the equation. 21 + -21 + -5b = 21 + -21 + 5b Combine like terms: 21 + -21 = 0 0 + -5b = 21 + -21 + 5b -5b = 21 + -21 + 5b Combine like terms: 21 + -21 = 0 -5b = 0 + 5b -5b = 5b Solving -5b = 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. -5b + -5b = 5b + -5b Combine like terms: -5b + -5b = -10b -10b = 5b + -5b Combine like terms: 5b + -5b = 0 -10b = 0 Divide each side by '-10'. b = 0.0 Simplifying b = 0.0
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