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Simplifying -8(-12v + 40) = -194 + -30v Reorder the terms: -8(40 + -12v) = -194 + -30v (40 * -8 + -12v * -8) = -194 + -30v (-320 + 96v) = -194 + -30v Solving -320 + 96v = -194 + -30v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '30v' to each side of the equation. -320 + 96v + 30v = -194 + -30v + 30v Combine like terms: 96v + 30v = 126v -320 + 126v = -194 + -30v + 30v Combine like terms: -30v + 30v = 0 -320 + 126v = -194 + 0 -320 + 126v = -194 Add '320' to each side of the equation. -320 + 320 + 126v = -194 + 320 Combine like terms: -320 + 320 = 0 0 + 126v = -194 + 320 126v = -194 + 320 Combine like terms: -194 + 320 = 126 126v = 126 Divide each side by '126'. v = 1 Simplifying v = 1
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