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Simplifying -35 + 7v = 5(2v + -7) Reorder the terms: -35 + 7v = 5(-7 + 2v) -35 + 7v = (-7 * 5 + 2v * 5) -35 + 7v = (-35 + 10v) Add '35' to each side of the equation. -35 + 35 + 7v = -35 + 35 + 10v Combine like terms: -35 + 35 = 0 0 + 7v = -35 + 35 + 10v 7v = -35 + 35 + 10v Combine like terms: -35 + 35 = 0 7v = 0 + 10v 7v = 10v Solving 7v = 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. 7v + -10v = 10v + -10v Combine like terms: 7v + -10v = -3v -3v = 10v + -10v Combine like terms: 10v + -10v = 0 -3v = 0 Divide each side by '-3'. v = 0 Simplifying v = 0
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