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Simplifying -2v + -30 = 4(v + 6) Reorder the terms: -30 + -2v = 4(v + 6) Reorder the terms: -30 + -2v = 4(6 + v) -30 + -2v = (6 * 4 + v * 4) -30 + -2v = (24 + 4v) Solving -30 + -2v = 24 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -30 + -2v + -4v = 24 + 4v + -4v Combine like terms: -2v + -4v = -6v -30 + -6v = 24 + 4v + -4v Combine like terms: 4v + -4v = 0 -30 + -6v = 24 + 0 -30 + -6v = 24 Add '30' to each side of the equation. -30 + 30 + -6v = 24 + 30 Combine like terms: -30 + 30 = 0 0 + -6v = 24 + 30 -6v = 24 + 30 Combine like terms: 24 + 30 = 54 -6v = 54 Divide each side by '-6'. v = -9 Simplifying v = -9
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