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Simplifying -5(-3v + 2) + -1v = 4(v + -6) + -1 Reorder the terms: -5(2 + -3v) + -1v = 4(v + -6) + -1 (2 * -5 + -3v * -5) + -1v = 4(v + -6) + -1 (-10 + 15v) + -1v = 4(v + -6) + -1 Combine like terms: 15v + -1v = 14v -10 + 14v = 4(v + -6) + -1 Reorder the terms: -10 + 14v = 4(-6 + v) + -1 -10 + 14v = (-6 * 4 + v * 4) + -1 -10 + 14v = (-24 + 4v) + -1 Reorder the terms: -10 + 14v = -24 + -1 + 4v Combine like terms: -24 + -1 = -25 -10 + 14v = -25 + 4v Solving -10 + 14v = -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. -10 + 14v + -4v = -25 + 4v + -4v Combine like terms: 14v + -4v = 10v -10 + 10v = -25 + 4v + -4v Combine like terms: 4v + -4v = 0 -10 + 10v = -25 + 0 -10 + 10v = -25 Add '10' to each side of the equation. -10 + 10 + 10v = -25 + 10 Combine like terms: -10 + 10 = 0 0 + 10v = -25 + 10 10v = -25 + 10 Combine like terms: -25 + 10 = -15 10v = -15 Divide each side by '10'. v = -1.5 Simplifying v = -1.5
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