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Simplifying -4(v + 4) + 2v + 7 = 6v + 8 Reorder the terms: -4(4 + v) + 2v + 7 = 6v + 8 (4 * -4 + v * -4) + 2v + 7 = 6v + 8 (-16 + -4v) + 2v + 7 = 6v + 8 Reorder the terms: -16 + 7 + -4v + 2v = 6v + 8 Combine like terms: -16 + 7 = -9 -9 + -4v + 2v = 6v + 8 Combine like terms: -4v + 2v = -2v -9 + -2v = 6v + 8 Reorder the terms: -9 + -2v = 8 + 6v Solving -9 + -2v = 8 + 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. -9 + -2v + -6v = 8 + 6v + -6v Combine like terms: -2v + -6v = -8v -9 + -8v = 8 + 6v + -6v Combine like terms: 6v + -6v = 0 -9 + -8v = 8 + 0 -9 + -8v = 8 Add '9' to each side of the equation. -9 + 9 + -8v = 8 + 9 Combine like terms: -9 + 9 = 0 0 + -8v = 8 + 9 -8v = 8 + 9 Combine like terms: 8 + 9 = 17 -8v = 17 Divide each side by '-8'. v = -2.125 Simplifying v = -2.125
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