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Simplifying -3v + -8(1 + -5v) = -40 + 5v -3v + (1 * -8 + -5v * -8) = -40 + 5v -3v + (-8 + 40v) = -40 + 5v Reorder the terms: -8 + -3v + 40v = -40 + 5v Combine like terms: -3v + 40v = 37v -8 + 37v = -40 + 5v Solving -8 + 37v = -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. -8 + 37v + -5v = -40 + 5v + -5v Combine like terms: 37v + -5v = 32v -8 + 32v = -40 + 5v + -5v Combine like terms: 5v + -5v = 0 -8 + 32v = -40 + 0 -8 + 32v = -40 Add '8' to each side of the equation. -8 + 8 + 32v = -40 + 8 Combine like terms: -8 + 8 = 0 0 + 32v = -40 + 8 32v = -40 + 8 Combine like terms: -40 + 8 = -32 32v = -32 Divide each side by '32'. v = -1 Simplifying v = -1
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