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Simplifying -2(v + -5) = -40 + 8v Reorder the terms: -2(-5 + v) = -40 + 8v (-5 * -2 + v * -2) = -40 + 8v (10 + -2v) = -40 + 8v Solving 10 + -2v = -40 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 10 + -2v + -8v = -40 + 8v + -8v Combine like terms: -2v + -8v = -10v 10 + -10v = -40 + 8v + -8v Combine like terms: 8v + -8v = 0 10 + -10v = -40 + 0 10 + -10v = -40 Add '-10' to each side of the equation. 10 + -10 + -10v = -40 + -10 Combine like terms: 10 + -10 = 0 0 + -10v = -40 + -10 -10v = -40 + -10 Combine like terms: -40 + -10 = -50 -10v = -50 Divide each side by '-10'. v = 5 Simplifying v = 5
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