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Simplifying -7 + -5v = -2(3v + 6) Reorder the terms: -7 + -5v = -2(6 + 3v) -7 + -5v = (6 * -2 + 3v * -2) -7 + -5v = (-12 + -6v) Solving -7 + -5v = -12 + -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. -7 + -5v + 6v = -12 + -6v + 6v Combine like terms: -5v + 6v = 1v -7 + 1v = -12 + -6v + 6v Combine like terms: -6v + 6v = 0 -7 + 1v = -12 + 0 -7 + 1v = -12 Add '7' to each side of the equation. -7 + 7 + 1v = -12 + 7 Combine like terms: -7 + 7 = 0 0 + 1v = -12 + 7 1v = -12 + 7 Combine like terms: -12 + 7 = -5 1v = -5 Divide each side by '1'. v = -5 Simplifying v = -5
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