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Simplifying -30 + -5v = -5(7v + -6) Reorder the terms: -30 + -5v = -5(-6 + 7v) -30 + -5v = (-6 * -5 + 7v * -5) -30 + -5v = (30 + -35v) Solving -30 + -5v = 30 + -35v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '35v' to each side of the equation. -30 + -5v + 35v = 30 + -35v + 35v Combine like terms: -5v + 35v = 30v -30 + 30v = 30 + -35v + 35v Combine like terms: -35v + 35v = 0 -30 + 30v = 30 + 0 -30 + 30v = 30 Add '30' to each side of the equation. -30 + 30 + 30v = 30 + 30 Combine like terms: -30 + 30 = 0 0 + 30v = 30 + 30 30v = 30 + 30 Combine like terms: 30 + 30 = 60 30v = 60 Divide each side by '30'. v = 2 Simplifying v = 2
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