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Simplifying b + -5(-4 + -3b) = 5(5b + 4) b + (-4 * -5 + -3b * -5) = 5(5b + 4) b + (20 + 15b) = 5(5b + 4) Reorder the terms: 20 + b + 15b = 5(5b + 4) Combine like terms: b + 15b = 16b 20 + 16b = 5(5b + 4) Reorder the terms: 20 + 16b = 5(4 + 5b) 20 + 16b = (4 * 5 + 5b * 5) 20 + 16b = (20 + 25b) Add '-20' to each side of the equation. 20 + -20 + 16b = 20 + -20 + 25b Combine like terms: 20 + -20 = 0 0 + 16b = 20 + -20 + 25b 16b = 20 + -20 + 25b Combine like terms: 20 + -20 = 0 16b = 0 + 25b 16b = 25b Solving 16b = 25b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-25b' to each side of the equation. 16b + -25b = 25b + -25b Combine like terms: 16b + -25b = -9b -9b = 25b + -25b Combine like terms: 25b + -25b = 0 -9b = 0 Divide each side by '-9'. b = 0 Simplifying b = 0
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