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Simplifying -2v + 35 = -1 + -4(1 + 3v) Reorder the terms: 35 + -2v = -1 + -4(1 + 3v) 35 + -2v = -1 + (1 * -4 + 3v * -4) 35 + -2v = -1 + (-4 + -12v) Combine like terms: -1 + -4 = -5 35 + -2v = -5 + -12v Solving 35 + -2v = -5 + -12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12v' to each side of the equation. 35 + -2v + 12v = -5 + -12v + 12v Combine like terms: -2v + 12v = 10v 35 + 10v = -5 + -12v + 12v Combine like terms: -12v + 12v = 0 35 + 10v = -5 + 0 35 + 10v = -5 Add '-35' to each side of the equation. 35 + -35 + 10v = -5 + -35 Combine like terms: 35 + -35 = 0 0 + 10v = -5 + -35 10v = -5 + -35 Combine like terms: -5 + -35 = -40 10v = -40 Divide each side by '10'. v = -4 Simplifying v = -4
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