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Simplifying -7(-3v + 5) + -6v = 5(v + -6) + -3 Reorder the terms: -7(5 + -3v) + -6v = 5(v + -6) + -3 (5 * -7 + -3v * -7) + -6v = 5(v + -6) + -3 (-35 + 21v) + -6v = 5(v + -6) + -3 Combine like terms: 21v + -6v = 15v -35 + 15v = 5(v + -6) + -3 Reorder the terms: -35 + 15v = 5(-6 + v) + -3 -35 + 15v = (-6 * 5 + v * 5) + -3 -35 + 15v = (-30 + 5v) + -3 Reorder the terms: -35 + 15v = -30 + -3 + 5v Combine like terms: -30 + -3 = -33 -35 + 15v = -33 + 5v Solving -35 + 15v = -33 + 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. -35 + 15v + -5v = -33 + 5v + -5v Combine like terms: 15v + -5v = 10v -35 + 10v = -33 + 5v + -5v Combine like terms: 5v + -5v = 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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