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Simplifying -5(v + 4) + 3v + 6 = 6v + 7 Reorder the terms: -5(4 + v) + 3v + 6 = 6v + 7 (4 * -5 + v * -5) + 3v + 6 = 6v + 7 (-20 + -5v) + 3v + 6 = 6v + 7 Reorder the terms: -20 + 6 + -5v + 3v = 6v + 7 Combine like terms: -20 + 6 = -14 -14 + -5v + 3v = 6v + 7 Combine like terms: -5v + 3v = -2v -14 + -2v = 6v + 7 Reorder the terms: -14 + -2v = 7 + 6v Solving -14 + -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. -14 + -2v + -6v = 7 + 6v + -6v Combine like terms: -2v + -6v = -8v -14 + -8v = 7 + 6v + -6v Combine like terms: 6v + -6v = 0 -14 + -8v = 7 + 0 -14 + -8v = 7 Add '14' to each side of the equation. -14 + 14 + -8v = 7 + 14 Combine like terms: -14 + 14 = 0 0 + -8v = 7 + 14 -8v = 7 + 14 Combine like terms: 7 + 14 = 21 -8v = 21 Divide each side by '-8'. v = -2.625 Simplifying v = -2.625
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