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Simplifying -17 = -3v + 7(v + -7) Reorder the terms: -17 = -3v + 7(-7 + v) -17 = -3v + (-7 * 7 + v * 7) -17 = -3v + (-49 + 7v) Reorder the terms: -17 = -49 + -3v + 7v Combine like terms: -3v + 7v = 4v -17 = -49 + 4v Solving -17 = -49 + 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 = -49 + 4v + -4v Combine like terms: 4v + -4v = 0 -17 + -4v = -49 + 0 -17 + -4v = -49 Add '17' to each side of the equation. -17 + 17 + -4v = -49 + 17 Combine like terms: -17 + 17 = 0 0 + -4v = -49 + 17 -4v = -49 + 17 Combine like terms: -49 + 17 = -32 -4v = -32 Divide each side by '-4'. v = 8 Simplifying v = 8
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