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Simplifying -5(-2v + 4) + -3v = 3(v + -2) + -4 Reorder the terms: -5(4 + -2v) + -3v = 3(v + -2) + -4 (4 * -5 + -2v * -5) + -3v = 3(v + -2) + -4 (-20 + 10v) + -3v = 3(v + -2) + -4 Combine like terms: 10v + -3v = 7v -20 + 7v = 3(v + -2) + -4 Reorder the terms: -20 + 7v = 3(-2 + v) + -4 -20 + 7v = (-2 * 3 + v * 3) + -4 -20 + 7v = (-6 + 3v) + -4 Reorder the terms: -20 + 7v = -6 + -4 + 3v Combine like terms: -6 + -4 = -10 -20 + 7v = -10 + 3v Solving -20 + 7v = -10 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -20 + 7v + -3v = -10 + 3v + -3v Combine like terms: 7v + -3v = 4v -20 + 4v = -10 + 3v + -3v Combine like terms: 3v + -3v = 0 -20 + 4v = -10 + 0 -20 + 4v = -10 Add '20' to each side of the equation. -20 + 20 + 4v = -10 + 20 Combine like terms: -20 + 20 = 0 0 + 4v = -10 + 20 4v = -10 + 20 Combine like terms: -10 + 20 = 10 4v = 10 Divide each side by '4'. v = 2.5 Simplifying v = 2.5
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