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Simplifying -205 = 7v + -6(5 + 7v) -205 = 7v + (5 * -6 + 7v * -6) -205 = 7v + (-30 + -42v) Reorder the terms: -205 = -30 + 7v + -42v Combine like terms: 7v + -42v = -35v -205 = -30 + -35v Solving -205 = -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. -205 + 35v = -30 + -35v + 35v Combine like terms: -35v + 35v = 0 -205 + 35v = -30 + 0 -205 + 35v = -30 Add '205' to each side of the equation. -205 + 205 + 35v = -30 + 205 Combine like terms: -205 + 205 = 0 0 + 35v = -30 + 205 35v = -30 + 205 Combine like terms: -30 + 205 = 175 35v = 175 Divide each side by '35'. v = 5 Simplifying v = 5
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