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Simplifying -2 + 4v = 6(2v + -7) Reorder the terms: -2 + 4v = 6(-7 + 2v) -2 + 4v = (-7 * 6 + 2v * 6) -2 + 4v = (-42 + 12v) Solving -2 + 4v = -42 + 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. -2 + 4v + -12v = -42 + 12v + -12v Combine like terms: 4v + -12v = -8v -2 + -8v = -42 + 12v + -12v Combine like terms: 12v + -12v = 0 -2 + -8v = -42 + 0 -2 + -8v = -42 Add '2' to each side of the equation. -2 + 2 + -8v = -42 + 2 Combine like terms: -2 + 2 = 0 0 + -8v = -42 + 2 -8v = -42 + 2 Combine like terms: -42 + 2 = -40 -8v = -40 Divide each side by '-8'. v = 5 Simplifying v = 5
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