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Simplifying -3(v + -3) = -4(1 + v) Reorder the terms: -3(-3 + v) = -4(1 + v) (-3 * -3 + v * -3) = -4(1 + v) (9 + -3v) = -4(1 + v) 9 + -3v = (1 * -4 + v * -4) 9 + -3v = (-4 + -4v) Solving 9 + -3v = -4 + -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 + -3v + 4v = -4 + -4v + 4v Combine like terms: -3v + 4v = 1v 9 + 1v = -4 + -4v + 4v Combine like terms: -4v + 4v = 0 9 + 1v = -4 + 0 9 + 1v = -4 Add '-9' to each side of the equation. 9 + -9 + 1v = -4 + -9 Combine like terms: 9 + -9 = 0 0 + 1v = -4 + -9 1v = -4 + -9 Combine like terms: -4 + -9 = -13 1v = -13 Divide each side by '1'. v = -13 Simplifying v = -13
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