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Simplifying 3(v + 7) + -5v = 17 Reorder the terms: 3(7 + v) + -5v = 17 (7 * 3 + v * 3) + -5v = 17 (21 + 3v) + -5v = 17 Combine like terms: 3v + -5v = -2v 21 + -2v = 17 Solving 21 + -2v = 17 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -2v = 17 + -21 Combine like terms: 21 + -21 = 0 0 + -2v = 17 + -21 -2v = 17 + -21 Combine like terms: 17 + -21 = -4 -2v = -4 Divide each side by '-2'. v = 2 Simplifying v = 2
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