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Simplifying 4(v + -1) + -4(-1v + -1) = 5v + 5v Reorder the terms: 4(-1 + v) + -4(-1v + -1) = 5v + 5v (-1 * 4 + v * 4) + -4(-1v + -1) = 5v + 5v (-4 + 4v) + -4(-1v + -1) = 5v + 5v Reorder the terms: -4 + 4v + -4(-1 + -1v) = 5v + 5v -4 + 4v + (-1 * -4 + -1v * -4) = 5v + 5v -4 + 4v + (4 + 4v) = 5v + 5v Reorder the terms: -4 + 4 + 4v + 4v = 5v + 5v Combine like terms: -4 + 4 = 0 0 + 4v + 4v = 5v + 5v 4v + 4v = 5v + 5v Combine like terms: 4v + 4v = 8v 8v = 5v + 5v Combine like terms: 5v + 5v = 10v 8v = 10v Solving 8v = 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. 8v + -10v = 10v + -10v Combine like terms: 8v + -10v = -2v -2v = 10v + -10v Combine like terms: 10v + -10v = 0 -2v = 0 Divide each side by '-2'. v = 0 Simplifying v = 0
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