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Simplifying 6(v + 1) + -9 = 4(v + -1) Reorder the terms: 6(1 + v) + -9 = 4(v + -1) (1 * 6 + v * 6) + -9 = 4(v + -1) (6 + 6v) + -9 = 4(v + -1) Reorder the terms: 6 + -9 + 6v = 4(v + -1) Combine like terms: 6 + -9 = -3 -3 + 6v = 4(v + -1) Reorder the terms: -3 + 6v = 4(-1 + v) -3 + 6v = (-1 * 4 + v * 4) -3 + 6v = (-4 + 4v) Solving -3 + 6v = -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. -3 + 6v + -4v = -4 + 4v + -4v Combine like terms: 6v + -4v = 2v -3 + 2v = -4 + 4v + -4v Combine like terms: 4v + -4v = 0 -3 + 2v = -4 + 0 -3 + 2v = -4 Add '3' to each side of the equation. -3 + 3 + 2v = -4 + 3 Combine like terms: -3 + 3 = 0 0 + 2v = -4 + 3 2v = -4 + 3 Combine like terms: -4 + 3 = -1 2v = -1 Divide each side by '2'. v = -0.5 Simplifying v = -0.5
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