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Simplifying 1 + -2v = 6 + -3v + 6v + 15 Reorder the terms: 1 + -2v = 6 + 15 + -3v + 6v Combine like terms: 6 + 15 = 21 1 + -2v = 21 + -3v + 6v Combine like terms: -3v + 6v = 3v 1 + -2v = 21 + 3v Solving 1 + -2v = 21 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 1 + -2v + -3v = 21 + 3v + -3v Combine like terms: -2v + -3v = -5v 1 + -5v = 21 + 3v + -3v Combine like terms: 3v + -3v = 0 1 + -5v = 21 + 0 1 + -5v = 21 Add '-1' to each side of the equation. 1 + -1 + -5v = 21 + -1 Combine like terms: 1 + -1 = 0 0 + -5v = 21 + -1 -5v = 21 + -1 Combine like terms: 21 + -1 = 20 -5v = 20 Divide each side by '-5'. v = -4 Simplifying v = -4
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