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Simplifying 1 + 7(1 + 3v) = 0 1 + (1 * 7 + 3v * 7) = 0 1 + (7 + 21v) = 0 Combine like terms: 1 + 7 = 8 8 + 21v = 0 Solving 8 + 21v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 21v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 21v = 0 + -8 21v = 0 + -8 Combine like terms: 0 + -8 = -8 21v = -8 Divide each side by '21'. v = -0.380952381 Simplifying v = -0.380952381
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