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Simplifying 7(-1v + 3) + 3v = 17 + -8v Reorder the terms: 7(3 + -1v) + 3v = 17 + -8v (3 * 7 + -1v * 7) + 3v = 17 + -8v (21 + -7v) + 3v = 17 + -8v Combine like terms: -7v + 3v = -4v 21 + -4v = 17 + -8v Solving 21 + -4v = 17 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 21 + -4v + 8v = 17 + -8v + 8v Combine like terms: -4v + 8v = 4v 21 + 4v = 17 + -8v + 8v Combine like terms: -8v + 8v = 0 21 + 4v = 17 + 0 21 + 4v = 17 Add '-21' to each side of the equation. 21 + -21 + 4v = 17 + -21 Combine like terms: 21 + -21 = 0 0 + 4v = 17 + -21 4v = 17 + -21 Combine like terms: 17 + -21 = -4 4v = -4 Divide each side by '4'. v = -1 Simplifying v = -1
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