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Simplifying 2(v + -4) + 5v = -1 Reorder the terms: 2(-4 + v) + 5v = -1 (-4 * 2 + v * 2) + 5v = -1 (-8 + 2v) + 5v = -1 Combine like terms: 2v + 5v = 7v -8 + 7v = -1 Solving -8 + 7v = -1 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 7v = -1 + 8 Combine like terms: -8 + 8 = 0 0 + 7v = -1 + 8 7v = -1 + 8 Combine like terms: -1 + 8 = 7 7v = 7 Divide each side by '7'. v = 1 Simplifying v = 1
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