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Simplifying -6(v + 3) = -2v + 10 Reorder the terms: -6(3 + v) = -2v + 10 (3 * -6 + v * -6) = -2v + 10 (-18 + -6v) = -2v + 10 Reorder the terms: -18 + -6v = 10 + -2v Solving -18 + -6v = 10 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -18 + -6v + 2v = 10 + -2v + 2v Combine like terms: -6v + 2v = -4v -18 + -4v = 10 + -2v + 2v Combine like terms: -2v + 2v = 0 -18 + -4v = 10 + 0 -18 + -4v = 10 Add '18' to each side of the equation. -18 + 18 + -4v = 10 + 18 Combine like terms: -18 + 18 = 0 0 + -4v = 10 + 18 -4v = 10 + 18 Combine like terms: 10 + 18 = 28 -4v = 28 Divide each side by '-4'. v = -7 Simplifying v = -7
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