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Simplifying -3b + 32 = -7b + 8(4 + -5b) Reorder the terms: 32 + -3b = -7b + 8(4 + -5b) 32 + -3b = -7b + (4 * 8 + -5b * 8) 32 + -3b = -7b + (32 + -40b) Reorder the terms: 32 + -3b = 32 + -7b + -40b Combine like terms: -7b + -40b = -47b 32 + -3b = 32 + -47b Add '-32' to each side of the equation. 32 + -32 + -3b = 32 + -32 + -47b Combine like terms: 32 + -32 = 0 0 + -3b = 32 + -32 + -47b -3b = 32 + -32 + -47b Combine like terms: 32 + -32 = 0 -3b = 0 + -47b -3b = -47b Solving -3b = -47b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '47b' to each side of the equation. -3b + 47b = -47b + 47b Combine like terms: -3b + 47b = 44b 44b = -47b + 47b Combine like terms: -47b + 47b = 0 44b = 0 Divide each side by '44'. b = 0 Simplifying b = 0
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