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Simplifying 2(b + -4) = 4(2n + 1) Reorder the terms: 2(-4 + b) = 4(2n + 1) (-4 * 2 + b * 2) = 4(2n + 1) (-8 + 2b) = 4(2n + 1) Reorder the terms: -8 + 2b = 4(1 + 2n) -8 + 2b = (1 * 4 + 2n * 4) -8 + 2b = (4 + 8n) Solving -8 + 2b = 4 + 8n Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 2b = 4 + 8 + 8n Combine like terms: -8 + 8 = 0 0 + 2b = 4 + 8 + 8n 2b = 4 + 8 + 8n Combine like terms: 4 + 8 = 12 2b = 12 + 8n Divide each side by '2'. b = 6 + 4n Simplifying b = 6 + 4n
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