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Simplifying 35 = -7v + 4(v + 5) Reorder the terms: 35 = -7v + 4(5 + v) 35 = -7v + (5 * 4 + v * 4) 35 = -7v + (20 + 4v) Reorder the terms: 35 = 20 + -7v + 4v Combine like terms: -7v + 4v = -3v 35 = 20 + -3v Solving 35 = 20 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 35 + 3v = 20 + -3v + 3v Combine like terms: -3v + 3v = 0 35 + 3v = 20 + 0 35 + 3v = 20 Add '-35' to each side of the equation. 35 + -35 + 3v = 20 + -35 Combine like terms: 35 + -35 = 0 0 + 3v = 20 + -35 3v = 20 + -35 Combine like terms: 20 + -35 = -15 3v = -15 Divide each side by '3'. v = -5 Simplifying v = -5
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