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Simplifying 5(4b + 1) = 5(b + -2) Reorder the terms: 5(1 + 4b) = 5(b + -2) (1 * 5 + 4b * 5) = 5(b + -2) (5 + 20b) = 5(b + -2) Reorder the terms: 5 + 20b = 5(-2 + b) 5 + 20b = (-2 * 5 + b * 5) 5 + 20b = (-10 + 5b) Solving 5 + 20b = -10 + 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. 5 + 20b + -5b = -10 + 5b + -5b Combine like terms: 20b + -5b = 15b 5 + 15b = -10 + 5b + -5b Combine like terms: 5b + -5b = 0 5 + 15b = -10 + 0 5 + 15b = -10 Add '-5' to each side of the equation. 5 + -5 + 15b = -10 + -5 Combine like terms: 5 + -5 = 0 0 + 15b = -10 + -5 15b = -10 + -5 Combine like terms: -10 + -5 = -15 15b = -15 Divide each side by '15'. b = -1 Simplifying b = -1
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