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Simplifying 3v + -4 = 1 + 8(3 + -4v) Reorder the terms: -4 + 3v = 1 + 8(3 + -4v) -4 + 3v = 1 + (3 * 8 + -4v * 8) -4 + 3v = 1 + (24 + -32v) Combine like terms: 1 + 24 = 25 -4 + 3v = 25 + -32v Solving -4 + 3v = 25 + -32v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '32v' to each side of the equation. -4 + 3v + 32v = 25 + -32v + 32v Combine like terms: 3v + 32v = 35v -4 + 35v = 25 + -32v + 32v Combine like terms: -32v + 32v = 0 -4 + 35v = 25 + 0 -4 + 35v = 25 Add '4' to each side of the equation. -4 + 4 + 35v = 25 + 4 Combine like terms: -4 + 4 = 0 0 + 35v = 25 + 4 35v = 25 + 4 Combine like terms: 25 + 4 = 29 35v = 29 Divide each side by '35'. v = 0.8285714286 Simplifying v = 0.8285714286
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