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Simplifying -9 + -1v = -4(-1v + -4) Reorder the terms: -9 + -1v = -4(-4 + -1v) -9 + -1v = (-4 * -4 + -1v * -4) -9 + -1v = (16 + 4v) Solving -9 + -1v = 16 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -9 + -1v + -4v = 16 + 4v + -4v Combine like terms: -1v + -4v = -5v -9 + -5v = 16 + 4v + -4v Combine like terms: 4v + -4v = 0 -9 + -5v = 16 + 0 -9 + -5v = 16 Add '9' to each side of the equation. -9 + 9 + -5v = 16 + 9 Combine like terms: -9 + 9 = 0 0 + -5v = 16 + 9 -5v = 16 + 9 Combine like terms: 16 + 9 = 25 -5v = 25 Divide each side by '-5'. v = -5 Simplifying v = -5
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