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Simplifying 4(2b + -1) = 5(b + 1) Reorder the terms: 4(-1 + 2b) = 5(b + 1) (-1 * 4 + 2b * 4) = 5(b + 1) (-4 + 8b) = 5(b + 1) Reorder the terms: -4 + 8b = 5(1 + b) -4 + 8b = (1 * 5 + b * 5) -4 + 8b = (5 + 5b) Solving -4 + 8b = 5 + 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. -4 + 8b + -5b = 5 + 5b + -5b Combine like terms: 8b + -5b = 3b -4 + 3b = 5 + 5b + -5b Combine like terms: 5b + -5b = 0 -4 + 3b = 5 + 0 -4 + 3b = 5 Add '4' to each side of the equation. -4 + 4 + 3b = 5 + 4 Combine like terms: -4 + 4 = 0 0 + 3b = 5 + 4 3b = 5 + 4 Combine like terms: 5 + 4 = 9 3b = 9 Divide each side by '3'. b = 3 Simplifying b = 3
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