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Simplifying -2(7 + -1v) = -30 + -6v (7 * -2 + -1v * -2) = -30 + -6v (-14 + 2v) = -30 + -6v Solving -14 + 2v = -30 + -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. -14 + 2v + 6v = -30 + -6v + 6v Combine like terms: 2v + 6v = 8v -14 + 8v = -30 + -6v + 6v Combine like terms: -6v + 6v = 0 -14 + 8v = -30 + 0 -14 + 8v = -30 Add '14' to each side of the equation. -14 + 14 + 8v = -30 + 14 Combine like terms: -14 + 14 = 0 0 + 8v = -30 + 14 8v = -30 + 14 Combine like terms: -30 + 14 = -16 8v = -16 Divide each side by '8'. v = -2 Simplifying v = -2
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