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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 = -32 4v = -32 Divide each side by '4'. v = -8 Simplifying v = -8
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