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Simplifying (v + -5)(3) + 5v + 3 = 4v Reorder the terms: (-5 + v)(3) + 5v + 3 = 4v Reorder the terms for easier multiplication: 3(-5 + v) + 5v + 3 = 4v (-5 * 3 + v * 3) + 5v + 3 = 4v (-15 + 3v) + 5v + 3 = 4v Reorder the terms: -15 + 3 + 3v + 5v = 4v Combine like terms: -15 + 3 = -12 -12 + 3v + 5v = 4v Combine like terms: 3v + 5v = 8v -12 + 8v = 4v Solving -12 + 8v = 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -12 + 8v + -4v = 4v + -4v Combine like terms: 8v + -4v = 4v -12 + 4v = 4v + -4v Combine like terms: 4v + -4v = 0 -12 + 4v = 0 Add '12' to each side of the equation. -12 + 12 + 4v = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 4v = 0 + 12 4v = 0 + 12 Combine like terms: 0 + 12 = 12 4v = 12 Divide each side by '4'. v = 3 Simplifying v = 3
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