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Simplifying -6v + 40 = -4(v + -9) Reorder the terms: 40 + -6v = -4(v + -9) Reorder the terms: 40 + -6v = -4(-9 + v) 40 + -6v = (-9 * -4 + v * -4) 40 + -6v = (36 + -4v) Solving 40 + -6v = 36 + -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. 40 + -6v + 4v = 36 + -4v + 4v Combine like terms: -6v + 4v = -2v 40 + -2v = 36 + -4v + 4v Combine like terms: -4v + 4v = 0 40 + -2v = 36 + 0 40 + -2v = 36 Add '-40' to each side of the equation. 40 + -40 + -2v = 36 + -40 Combine like terms: 40 + -40 = 0 0 + -2v = 36 + -40 -2v = 36 + -40 Combine like terms: 36 + -40 = -4 -2v = -4 Divide each side by '-2'. v = 2 Simplifying v = 2
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