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