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Simplifying 50 = 5(3 + -7v) 50 = (3 * 5 + -7v * 5) 50 = (15 + -35v) Solving 50 = 15 + -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. 50 + 35v = 15 + -35v + 35v Combine like terms: -35v + 35v = 0 50 + 35v = 15 + 0 50 + 35v = 15 Add '-50' to each side of the equation. 50 + -50 + 35v = 15 + -50 Combine like terms: 50 + -50 = 0 0 + 35v = 15 + -50 35v = 15 + -50 Combine like terms: 15 + -50 = -35 35v = -35 Divide each side by '35'. v = -1 Simplifying v = -1
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