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Simplifying -21 = 5(v + -3) + -7v Reorder the terms: -21 = 5(-3 + v) + -7v -21 = (-3 * 5 + v * 5) + -7v -21 = (-15 + 5v) + -7v Combine like terms: 5v + -7v = -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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