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Simplifying 6v + 30 = 2(v + -1) Reorder the terms: 30 + 6v = 2(v + -1) Reorder the terms: 30 + 6v = 2(-1 + v) 30 + 6v = (-1 * 2 + v * 2) 30 + 6v = (-2 + 2v) Solving 30 + 6v = -2 + 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 + 6v + -2v = -2 + 2v + -2v Combine like terms: 6v + -2v = 4v 30 + 4v = -2 + 2v + -2v Combine like terms: 2v + -2v = 0 30 + 4v = -2 + 0 30 + 4v = -2 Add '-30' to each side of the equation. 30 + -30 + 4v = -2 + -30 Combine like terms: 30 + -30 = 0 0 + 4v = -2 + -30 4v = -2 + -30 Combine like terms: -2 + -30 = -32 4v = -32 Divide each side by '4'. v = -8 Simplifying v = -8
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