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Simplifying -1(v + -4) = 7v + -1 Reorder the terms: -1(-4 + v) = 7v + -1 (-4 * -1 + v * -1) = 7v + -1 (4 + -1v) = 7v + -1 Reorder the terms: 4 + -1v = -1 + 7v Solving 4 + -1v = -1 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 4 + -1v + -7v = -1 + 7v + -7v Combine like terms: -1v + -7v = -8v 4 + -8v = -1 + 7v + -7v Combine like terms: 7v + -7v = 0 4 + -8v = -1 + 0 4 + -8v = -1 Add '-4' to each side of the equation. 4 + -4 + -8v = -1 + -4 Combine like terms: 4 + -4 = 0 0 + -8v = -1 + -4 -8v = -1 + -4 Combine like terms: -1 + -4 = -5 -8v = -5 Divide each side by '-8'. v = 0.625 Simplifying v = 0.625
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