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Simplifying -1 + 4v = -3[v + 5] Reorder the terms: -1 + 4v = -3[5 + v] -1 + 4v = [5 * -3 + v * -3] -1 + 4v = [-15 + -3v] Solving -1 + 4v = -15 + -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. -1 + 4v + 3v = -15 + -3v + 3v Combine like terms: 4v + 3v = 7v -1 + 7v = -15 + -3v + 3v Combine like terms: -3v + 3v = 0 -1 + 7v = -15 + 0 -1 + 7v = -15 Add '1' to each side of the equation. -1 + 1 + 7v = -15 + 1 Combine like terms: -1 + 1 = 0 0 + 7v = -15 + 1 7v = -15 + 1 Combine like terms: -15 + 1 = -14 7v = -14 Divide each side by '7'. v = -2 Simplifying v = -2
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