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Simplifying 5v + 1 = 2(v + -4) Reorder the terms: 1 + 5v = 2(v + -4) Reorder the terms: 1 + 5v = 2(-4 + v) 1 + 5v = (-4 * 2 + v * 2) 1 + 5v = (-8 + 2v) Solving 1 + 5v = -8 + 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. 1 + 5v + -2v = -8 + 2v + -2v Combine like terms: 5v + -2v = 3v 1 + 3v = -8 + 2v + -2v Combine like terms: 2v + -2v = 0 1 + 3v = -8 + 0 1 + 3v = -8 Add '-1' to each side of the equation. 1 + -1 + 3v = -8 + -1 Combine like terms: 1 + -1 = 0 0 + 3v = -8 + -1 3v = -8 + -1 Combine like terms: -8 + -1 = -9 3v = -9 Divide each side by '3'. v = -3 Simplifying v = -3
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