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Simplifying -115 = 5(7 + -6v) -115 = (7 * 5 + -6v * 5) -115 = (35 + -30v) Solving -115 = 35 + -30v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '30v' to each side of the equation. -115 + 30v = 35 + -30v + 30v Combine like terms: -30v + 30v = 0 -115 + 30v = 35 + 0 -115 + 30v = 35 Add '115' to each side of the equation. -115 + 115 + 30v = 35 + 115 Combine like terms: -115 + 115 = 0 0 + 30v = 35 + 115 30v = 35 + 115 Combine like terms: 35 + 115 = 150 30v = 150 Divide each side by '30'. v = 5 Simplifying v = 5
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