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Simplifying -5(-3v + 7) + -2v = 3(v + -9) + -6 Reorder the terms: -5(7 + -3v) + -2v = 3(v + -9) + -6 (7 * -5 + -3v * -5) + -2v = 3(v + -9) + -6 (-35 + 15v) + -2v = 3(v + -9) + -6 Combine like terms: 15v + -2v = 13v -35 + 13v = 3(v + -9) + -6 Reorder the terms: -35 + 13v = 3(-9 + v) + -6 -35 + 13v = (-9 * 3 + v * 3) + -6 -35 + 13v = (-27 + 3v) + -6 Reorder the terms: -35 + 13v = -27 + -6 + 3v Combine like terms: -27 + -6 = -33 -35 + 13v = -33 + 3v Solving -35 + 13v = -33 + 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. -35 + 13v + -3v = -33 + 3v + -3v Combine like terms: 13v + -3v = 10v -35 + 10v = -33 + 3v + -3v Combine like terms: 3v + -3v = 0 -35 + 10v = -33 + 0 -35 + 10v = -33 Add '35' to each side of the equation. -35 + 35 + 10v = -33 + 35 Combine like terms: -35 + 35 = 0 0 + 10v = -33 + 35 10v = -33 + 35 Combine like terms: -33 + 35 = 2 10v = 2 Divide each side by '10'. v = 0.2 Simplifying v = 0.2
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