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