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Simplifying 2(v + 1) + 4b = 3(2v + -1) + 8 Reorder the terms: 2(1 + v) + 4b = 3(2v + -1) + 8 (1 * 2 + v * 2) + 4b = 3(2v + -1) + 8 (2 + 2v) + 4b = 3(2v + -1) + 8 Reorder the terms: 2 + 4b + 2v = 3(2v + -1) + 8 Reorder the terms: 2 + 4b + 2v = 3(-1 + 2v) + 8 2 + 4b + 2v = (-1 * 3 + 2v * 3) + 8 2 + 4b + 2v = (-3 + 6v) + 8 Reorder the terms: 2 + 4b + 2v = -3 + 8 + 6v Combine like terms: -3 + 8 = 5 2 + 4b + 2v = 5 + 6v Solving 2 + 4b + 2v = 5 + 6v Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 4b + -2 + 2v = 5 + -2 + 6v Reorder the terms: 2 + -2 + 4b + 2v = 5 + -2 + 6v Combine like terms: 2 + -2 = 0 0 + 4b + 2v = 5 + -2 + 6v 4b + 2v = 5 + -2 + 6v Combine like terms: 5 + -2 = 3 4b + 2v = 3 + 6v Add '-2v' to each side of the equation. 4b + 2v + -2v = 3 + 6v + -2v Combine like terms: 2v + -2v = 0 4b + 0 = 3 + 6v + -2v 4b = 3 + 6v + -2v Combine like terms: 6v + -2v = 4v 4b = 3 + 4v Divide each side by '4'. b = 0.75 + v Simplifying b = 0.75 + v
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