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Simplifying 7v + -4 = 6v + -1(4 + -3v) Reorder the terms: -4 + 7v = 6v + -1(4 + -3v) -4 + 7v = 6v + (4 * -1 + -3v * -1) -4 + 7v = 6v + (-4 + 3v) Reorder the terms: -4 + 7v = -4 + 6v + 3v Combine like terms: 6v + 3v = 9v -4 + 7v = -4 + 9v Add '4' to each side of the equation. -4 + 4 + 7v = -4 + 4 + 9v Combine like terms: -4 + 4 = 0 0 + 7v = -4 + 4 + 9v 7v = -4 + 4 + 9v Combine like terms: -4 + 4 = 0 7v = 0 + 9v 7v = 9v Solving 7v = 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. 7v + -9v = 9v + -9v Combine like terms: 7v + -9v = -2v -2v = 9v + -9v Combine like terms: 9v + -9v = 0 -2v = 0 Divide each side by '-2'. v = 0 Simplifying v = 0
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