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Simplifying 6 + -2v + -4v = -15 + -3v Combine like terms: -2v + -4v = -6v 6 + -6v = -15 + -3v Solving 6 + -6v = -15 + -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. 6 + -6v + 3v = -15 + -3v + 3v Combine like terms: -6v + 3v = -3v 6 + -3v = -15 + -3v + 3v Combine like terms: -3v + 3v = 0 6 + -3v = -15 + 0 6 + -3v = -15 Add '-6' to each side of the equation. 6 + -6 + -3v = -15 + -6 Combine like terms: 6 + -6 = 0 0 + -3v = -15 + -6 -3v = -15 + -6 Combine like terms: -15 + -6 = -21 -3v = -21 Divide each side by '-3'. v = 7 Simplifying v = 7
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