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Simplifying 4(b + -2) = 2(5 + b) Reorder the terms: 4(-2 + b) = 2(5 + b) (-2 * 4 + b * 4) = 2(5 + b) (-8 + 4b) = 2(5 + b) -8 + 4b = (5 * 2 + b * 2) -8 + 4b = (10 + 2b) Solving -8 + 4b = 10 + 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. -8 + 4b + -2b = 10 + 2b + -2b Combine like terms: 4b + -2b = 2b -8 + 2b = 10 + 2b + -2b Combine like terms: 2b + -2b = 0 -8 + 2b = 10 + 0 -8 + 2b = 10 Add '8' to each side of the equation. -8 + 8 + 2b = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 2b = 10 + 8 2b = 10 + 8 Combine like terms: 10 + 8 = 18 2b = 18 Divide each side by '2'. b = 9 Simplifying b = 9
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