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Simplifying 17 = -7v + 3(v + 5) Reorder the terms: 17 = -7v + 3(5 + v) 17 = -7v + (5 * 3 + v * 3) 17 = -7v + (15 + 3v) Reorder the terms: 17 = 15 + -7v + 3v Combine like terms: -7v + 3v = -4v 17 = 15 + -4v Solving 17 = 15 + -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. 17 + 4v = 15 + -4v + 4v Combine like terms: -4v + 4v = 0 17 + 4v = 15 + 0 17 + 4v = 15 Add '-17' to each side of the equation. 17 + -17 + 4v = 15 + -17 Combine like terms: 17 + -17 = 0 0 + 4v = 15 + -17 4v = 15 + -17 Combine like terms: 15 + -17 = -2 4v = -2 Divide each side by '4'. v = -0.5 Simplifying v = -0.5
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