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Simplifying -1v + 4 = -5(2 + 3v) Reorder the terms: 4 + -1v = -5(2 + 3v) 4 + -1v = (2 * -5 + 3v * -5) 4 + -1v = (-10 + -15v) Solving 4 + -1v = -10 + -15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '15v' to each side of the equation. 4 + -1v + 15v = -10 + -15v + 15v Combine like terms: -1v + 15v = 14v 4 + 14v = -10 + -15v + 15v Combine like terms: -15v + 15v = 0 4 + 14v = -10 + 0 4 + 14v = -10 Add '-4' to each side of the equation. 4 + -4 + 14v = -10 + -4 Combine like terms: 4 + -4 = 0 0 + 14v = -10 + -4 14v = -10 + -4 Combine like terms: -10 + -4 = -14 14v = -14 Divide each side by '14'. v = -1 Simplifying v = -1
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