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Simplifying 35 = -5 + 2(v + -7) Reorder the terms: 35 = -5 + 2(-7 + v) 35 = -5 + (-7 * 2 + v * 2) 35 = -5 + (-14 + 2v) Combine like terms: -5 + -14 = -19 35 = -19 + 2v Solving 35 = -19 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 35 + -2v = -19 + 2v + -2v Combine like terms: 2v + -2v = 0 35 + -2v = -19 + 0 35 + -2v = -19 Add '-35' to each side of the equation. 35 + -35 + -2v = -19 + -35 Combine like terms: 35 + -35 = 0 0 + -2v = -19 + -35 -2v = -19 + -35 Combine like terms: -19 + -35 = -54 -2v = -54 Divide each side by '-2'. v = 27 Simplifying v = 27
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