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Simplifying 4b + 5(2b + -4) = 2(b + 8) Reorder the terms: 4b + 5(-4 + 2b) = 2(b + 8) 4b + (-4 * 5 + 2b * 5) = 2(b + 8) 4b + (-20 + 10b) = 2(b + 8) Reorder the terms: -20 + 4b + 10b = 2(b + 8) Combine like terms: 4b + 10b = 14b -20 + 14b = 2(b + 8) Reorder the terms: -20 + 14b = 2(8 + b) -20 + 14b = (8 * 2 + b * 2) -20 + 14b = (16 + 2b) Solving -20 + 14b = 16 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -20 + 14b + -2b = 16 + 2b + -2b Combine like terms: 14b + -2b = 12b -20 + 12b = 16 + 2b + -2b Combine like terms: 2b + -2b = 0 -20 + 12b = 16 + 0 -20 + 12b = 16 Add '20' to each side of the equation. -20 + 20 + 12b = 16 + 20 Combine like terms: -20 + 20 = 0 0 + 12b = 16 + 20 12b = 16 + 20 Combine like terms: 16 + 20 = 36 12b = 36 Divide each side by '12'. b = 3 Simplifying b = 3
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