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Simplifying 2(1 + -2v) + 7v = -16 + 6v (1 * 2 + -2v * 2) + 7v = -16 + 6v (2 + -4v) + 7v = -16 + 6v Combine like terms: -4v + 7v = 3v 2 + 3v = -16 + 6v Solving 2 + 3v = -16 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 2 + 3v + -6v = -16 + 6v + -6v Combine like terms: 3v + -6v = -3v 2 + -3v = -16 + 6v + -6v Combine like terms: 6v + -6v = 0 2 + -3v = -16 + 0 2 + -3v = -16 Add '-2' to each side of the equation. 2 + -2 + -3v = -16 + -2 Combine like terms: 2 + -2 = 0 0 + -3v = -16 + -2 -3v = -16 + -2 Combine like terms: -16 + -2 = -18 -3v = -18 Divide each side by '-3'. v = 6 Simplifying v = 6
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