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Simplifying 3v + -2(-1v + 7) = 2(1 + 3v) Reorder the terms: 3v + -2(7 + -1v) = 2(1 + 3v) 3v + (7 * -2 + -1v * -2) = 2(1 + 3v) 3v + (-14 + 2v) = 2(1 + 3v) Reorder the terms: -14 + 3v + 2v = 2(1 + 3v) Combine like terms: 3v + 2v = 5v -14 + 5v = 2(1 + 3v) -14 + 5v = (1 * 2 + 3v * 2) -14 + 5v = (2 + 6v) Solving -14 + 5v = 2 + 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. -14 + 5v + -6v = 2 + 6v + -6v Combine like terms: 5v + -6v = -1v -14 + -1v = 2 + 6v + -6v Combine like terms: 6v + -6v = 0 -14 + -1v = 2 + 0 -14 + -1v = 2 Add '14' to each side of the equation. -14 + 14 + -1v = 2 + 14 Combine like terms: -14 + 14 = 0 0 + -1v = 2 + 14 -1v = 2 + 14 Combine like terms: 2 + 14 = 16 -1v = 16 Divide each side by '-1'. v = -16 Simplifying v = -16
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