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Simplifying 8 + -1b = 5(b + 4) Reorder the terms: 8 + -1b = 5(4 + b) 8 + -1b = (4 * 5 + b * 5) 8 + -1b = (20 + 5b) Solving 8 + -1b = 20 + 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. 8 + -1b + -5b = 20 + 5b + -5b Combine like terms: -1b + -5b = -6b 8 + -6b = 20 + 5b + -5b Combine like terms: 5b + -5b = 0 8 + -6b = 20 + 0 8 + -6b = 20 Add '-8' to each side of the equation. 8 + -8 + -6b = 20 + -8 Combine like terms: 8 + -8 = 0 0 + -6b = 20 + -8 -6b = 20 + -8 Combine like terms: 20 + -8 = 12 -6b = 12 Divide each side by '-6'. b = -2 Simplifying b = -2
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