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Simplifying 5(-2 + 7v) = -40 + 5v (-2 * 5 + 7v * 5) = -40 + 5v (-10 + 35v) = -40 + 5v Solving -10 + 35v = -40 + 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. -10 + 35v + -5v = -40 + 5v + -5v Combine like terms: 35v + -5v = 30v -10 + 30v = -40 + 5v + -5v Combine like terms: 5v + -5v = 0 -10 + 30v = -40 + 0 -10 + 30v = -40 Add '10' to each side of the equation. -10 + 10 + 30v = -40 + 10 Combine like terms: -10 + 10 = 0 0 + 30v = -40 + 10 30v = -40 + 10 Combine like terms: -40 + 10 = -30 30v = -30 Divide each side by '30'. v = -1 Simplifying v = -1
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