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Simplifying 7(v + 3) = -7(v + 8) + 3v Reorder the terms: 7(3 + v) = -7(v + 8) + 3v (3 * 7 + v * 7) = -7(v + 8) + 3v (21 + 7v) = -7(v + 8) + 3v Reorder the terms: 21 + 7v = -7(8 + v) + 3v 21 + 7v = (8 * -7 + v * -7) + 3v 21 + 7v = (-56 + -7v) + 3v Combine like terms: -7v + 3v = -4v 21 + 7v = -56 + -4v Solving 21 + 7v = -56 + -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. 21 + 7v + 4v = -56 + -4v + 4v Combine like terms: 7v + 4v = 11v 21 + 11v = -56 + -4v + 4v Combine like terms: -4v + 4v = 0 21 + 11v = -56 + 0 21 + 11v = -56 Add '-21' to each side of the equation. 21 + -21 + 11v = -56 + -21 Combine like terms: 21 + -21 = 0 0 + 11v = -56 + -21 11v = -56 + -21 Combine like terms: -56 + -21 = -77 11v = -77 Divide each side by '11'. v = -7 Simplifying v = -7
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