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Simplifying -8v + -30 = -2(v + -3) Reorder the terms: -30 + -8v = -2(v + -3) Reorder the terms: -30 + -8v = -2(-3 + v) -30 + -8v = (-3 * -2 + v * -2) -30 + -8v = (6 + -2v) Solving -30 + -8v = 6 + -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. -30 + -8v + 2v = 6 + -2v + 2v Combine like terms: -8v + 2v = -6v -30 + -6v = 6 + -2v + 2v Combine like terms: -2v + 2v = 0 -30 + -6v = 6 + 0 -30 + -6v = 6 Add '30' to each side of the equation. -30 + 30 + -6v = 6 + 30 Combine like terms: -30 + 30 = 0 0 + -6v = 6 + 30 -6v = 6 + 30 Combine like terms: 6 + 30 = 36 -6v = 36 Divide each side by '-6'. v = -6 Simplifying v = -6
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