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Simplifying b + 8 = -4b + 53 Reorder the terms: 8 + b = -4b + 53 Reorder the terms: 8 + b = 53 + -4b Solving 8 + b = 53 + -4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. 8 + b + 4b = 53 + -4b + 4b Combine like terms: b + 4b = 5b 8 + 5b = 53 + -4b + 4b Combine like terms: -4b + 4b = 0 8 + 5b = 53 + 0 8 + 5b = 53 Add '-8' to each side of the equation. 8 + -8 + 5b = 53 + -8 Combine like terms: 8 + -8 = 0 0 + 5b = 53 + -8 5b = 53 + -8 Combine like terms: 53 + -8 = 45 5b = 45 Divide each side by '5'. b = 9 Simplifying b = 9
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