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Simplifying -21 = -5v + 3(v + -5) Reorder the terms: -21 = -5v + 3(-5 + v) -21 = -5v + (-5 * 3 + v * 3) -21 = -5v + (-15 + 3v) Reorder the terms: -21 = -15 + -5v + 3v Combine like terms: -5v + 3v = -2v -21 = -15 + -2v Solving -21 = -15 + -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. -21 + 2v = -15 + -2v + 2v Combine like terms: -2v + 2v = 0 -21 + 2v = -15 + 0 -21 + 2v = -15 Add '21' to each side of the equation. -21 + 21 + 2v = -15 + 21 Combine like terms: -21 + 21 = 0 0 + 2v = -15 + 21 2v = -15 + 21 Combine like terms: -15 + 21 = 6 2v = 6 Divide each side by '2'. v = 3 Simplifying v = 3
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