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Simplifying -5(-3v + 7) + -5v = 4(v + -6) + -1 Reorder the terms: -5(7 + -3v) + -5v = 4(v + -6) + -1 (7 * -5 + -3v * -5) + -5v = 4(v + -6) + -1 (-35 + 15v) + -5v = 4(v + -6) + -1 Combine like terms: 15v + -5v = 10v -35 + 10v = 4(v + -6) + -1 Reorder the terms: -35 + 10v = 4(-6 + v) + -1 -35 + 10v = (-6 * 4 + v * 4) + -1 -35 + 10v = (-24 + 4v) + -1 Reorder the terms: -35 + 10v = -24 + -1 + 4v Combine like terms: -24 + -1 = -25 -35 + 10v = -25 + 4v Solving -35 + 10v = -25 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -35 + 10v + -4v = -25 + 4v + -4v Combine like terms: 10v + -4v = 6v -35 + 6v = -25 + 4v + -4v Combine like terms: 4v + -4v = 0 -35 + 6v = -25 + 0 -35 + 6v = -25 Add '35' to each side of the equation. -35 + 35 + 6v = -25 + 35 Combine like terms: -35 + 35 = 0 0 + 6v = -25 + 35 6v = -25 + 35 Combine like terms: -25 + 35 = 10 6v = 10 Divide each side by '6'. v = 1.666666667 Simplifying v = 1.666666667
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