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Simplifying 4[b + 6] + -5b = 32 + b Reorder the terms: 4[6 + b] + -5b = 32 + b [6 * 4 + b * 4] + -5b = 32 + b [24 + 4b] + -5b = 32 + b Combine like terms: 4b + -5b = -1b 24 + -1b = 32 + b Solving 24 + -1b = 32 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 24 + -1b + -1b = 32 + b + -1b Combine like terms: -1b + -1b = -2b 24 + -2b = 32 + b + -1b Combine like terms: b + -1b = 0 24 + -2b = 32 + 0 24 + -2b = 32 Add '-24' to each side of the equation. 24 + -24 + -2b = 32 + -24 Combine like terms: 24 + -24 = 0 0 + -2b = 32 + -24 -2b = 32 + -24 Combine like terms: 32 + -24 = 8 -2b = 8 Divide each side by '-2'. b = -4 Simplifying b = -4
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