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Simplifying 4(-1v + 3) + 4(v + -3) = 8v + v Reorder the terms: 4(3 + -1v) + 4(v + -3) = 8v + v (3 * 4 + -1v * 4) + 4(v + -3) = 8v + v (12 + -4v) + 4(v + -3) = 8v + v Reorder the terms: 12 + -4v + 4(-3 + v) = 8v + v 12 + -4v + (-3 * 4 + v * 4) = 8v + v 12 + -4v + (-12 + 4v) = 8v + v Reorder the terms: 12 + -12 + -4v + 4v = 8v + v Combine like terms: 12 + -12 = 0 0 + -4v + 4v = 8v + v -4v + 4v = 8v + v Combine like terms: -4v + 4v = 0 0 = 8v + v Combine like terms: 8v + v = 9v 0 = 9v Solving 0 = 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. 0 + -9v = 9v + -9v Remove the zero: -9v = 9v + -9v Combine like terms: 9v + -9v = 0 -9v = 0 Divide each side by '-9'. v = 0 Simplifying v = 0
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