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Simplifying -6 = -2v + 6(v + -3) Reorder the terms: -6 = -2v + 6(-3 + v) -6 = -2v + (-3 * 6 + v * 6) -6 = -2v + (-18 + 6v) Reorder the terms: -6 = -18 + -2v + 6v Combine like terms: -2v + 6v = 4v -6 = -18 + 4v Solving -6 = -18 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -6 + -4v = -18 + 4v + -4v Combine like terms: 4v + -4v = 0 -6 + -4v = -18 + 0 -6 + -4v = -18 Add '6' to each side of the equation. -6 + 6 + -4v = -18 + 6 Combine like terms: -6 + 6 = 0 0 + -4v = -18 + 6 -4v = -18 + 6 Combine like terms: -18 + 6 = -12 -4v = -12 Divide each side by '-4'. v = 3 Simplifying v = 3
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