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Simplifying -4(v + 2) + 2v + 7 = 6v + 7 Reorder the terms: -4(2 + v) + 2v + 7 = 6v + 7 (2 * -4 + v * -4) + 2v + 7 = 6v + 7 (-8 + -4v) + 2v + 7 = 6v + 7 Reorder the terms: -8 + 7 + -4v + 2v = 6v + 7 Combine like terms: -8 + 7 = -1 -1 + -4v + 2v = 6v + 7 Combine like terms: -4v + 2v = -2v -1 + -2v = 6v + 7 Reorder the terms: -1 + -2v = 7 + 6v Solving -1 + -2v = 7 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -1 + -2v + -6v = 7 + 6v + -6v Combine like terms: -2v + -6v = -8v -1 + -8v = 7 + 6v + -6v Combine like terms: 6v + -6v = 0 -1 + -8v = 7 + 0 -1 + -8v = 7 Add '1' to each side of the equation. -1 + 1 + -8v = 7 + 1 Combine like terms: -1 + 1 = 0 0 + -8v = 7 + 1 -8v = 7 + 1 Combine like terms: 7 + 1 = 8 -8v = 8 Divide each side by '-8'. v = -1 Simplifying v = -1
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