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Simplifying 2v + -10 = -6(v + 3) Reorder the terms: -10 + 2v = -6(v + 3) Reorder the terms: -10 + 2v = -6(3 + v) -10 + 2v = (3 * -6 + v * -6) -10 + 2v = (-18 + -6v) Solving -10 + 2v = -18 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -10 + 2v + 6v = -18 + -6v + 6v Combine like terms: 2v + 6v = 8v -10 + 8v = -18 + -6v + 6v Combine like terms: -6v + 6v = 0 -10 + 8v = -18 + 0 -10 + 8v = -18 Add '10' to each side of the equation. -10 + 10 + 8v = -18 + 10 Combine like terms: -10 + 10 = 0 0 + 8v = -18 + 10 8v = -18 + 10 Combine like terms: -18 + 10 = -8 8v = -8 Divide each side by '8'. v = -1 Simplifying v = -1
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