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Simplifying 2v + -17 = 5(v + -7) Reorder the terms: -17 + 2v = 5(v + -7) Reorder the terms: -17 + 2v = 5(-7 + v) -17 + 2v = (-7 * 5 + v * 5) -17 + 2v = (-35 + 5v) Solving -17 + 2v = -35 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -17 + 2v + -5v = -35 + 5v + -5v Combine like terms: 2v + -5v = -3v -17 + -3v = -35 + 5v + -5v Combine like terms: 5v + -5v = 0 -17 + -3v = -35 + 0 -17 + -3v = -35 Add '17' to each side of the equation. -17 + 17 + -3v = -35 + 17 Combine like terms: -17 + 17 = 0 0 + -3v = -35 + 17 -3v = -35 + 17 Combine like terms: -35 + 17 = -18 -3v = -18 Divide each side by '-3'. v = 6 Simplifying v = 6
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