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Simplifying -4(v + 7) + (2v + -3) = -5 + -5v + -6 Reorder the terms: -4(7 + v) + (2v + -3) = -5 + -5v + -6 (7 * -4 + v * -4) + (2v + -3) = -5 + -5v + -6 (-28 + -4v) + (2v + -3) = -5 + -5v + -6 Reorder the terms: -28 + -4v + (-3 + 2v) = -5 + -5v + -6 Remove parenthesis around (-3 + 2v) -28 + -4v + -3 + 2v = -5 + -5v + -6 Reorder the terms: -28 + -3 + -4v + 2v = -5 + -5v + -6 Combine like terms: -28 + -3 = -31 -31 + -4v + 2v = -5 + -5v + -6 Combine like terms: -4v + 2v = -2v -31 + -2v = -5 + -5v + -6 Reorder the terms: -31 + -2v = -5 + -6 + -5v Combine like terms: -5 + -6 = -11 -31 + -2v = -11 + -5v Solving -31 + -2v = -11 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. -31 + -2v + 5v = -11 + -5v + 5v Combine like terms: -2v + 5v = 3v -31 + 3v = -11 + -5v + 5v Combine like terms: -5v + 5v = 0 -31 + 3v = -11 + 0 -31 + 3v = -11 Add '31' to each side of the equation. -31 + 31 + 3v = -11 + 31 Combine like terms: -31 + 31 = 0 0 + 3v = -11 + 31 3v = -11 + 31 Combine like terms: -11 + 31 = 20 3v = 20 Divide each side by '3'. v = 6.666666667 Simplifying v = 6.666666667
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