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Simplifying (26 + -1v)(-3) = 2v + -3 Reorder the terms for easier multiplication: -3(26 + -1v) = 2v + -3 (26 * -3 + -1v * -3) = 2v + -3 (-78 + 3v) = 2v + -3 Reorder the terms: -78 + 3v = -3 + 2v Solving -78 + 3v = -3 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -78 + 3v + -2v = -3 + 2v + -2v Combine like terms: 3v + -2v = 1v -78 + 1v = -3 + 2v + -2v Combine like terms: 2v + -2v = 0 -78 + 1v = -3 + 0 -78 + 1v = -3 Add '78' to each side of the equation. -78 + 78 + 1v = -3 + 78 Combine like terms: -78 + 78 = 0 0 + 1v = -3 + 78 1v = -3 + 78 Combine like terms: -3 + 78 = 75 1v = 75 Divide each side by '1'. v = 75 Simplifying v = 75
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