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Simplifying -2v + -40 = -9(v + 6) Reorder the terms: -40 + -2v = -9(v + 6) Reorder the terms: -40 + -2v = -9(6 + v) -40 + -2v = (6 * -9 + v * -9) -40 + -2v = (-54 + -9v) Solving -40 + -2v = -54 + -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. -40 + -2v + 9v = -54 + -9v + 9v Combine like terms: -2v + 9v = 7v -40 + 7v = -54 + -9v + 9v Combine like terms: -9v + 9v = 0 -40 + 7v = -54 + 0 -40 + 7v = -54 Add '40' to each side of the equation. -40 + 40 + 7v = -54 + 40 Combine like terms: -40 + 40 = 0 0 + 7v = -54 + 40 7v = -54 + 40 Combine like terms: -54 + 40 = -14 7v = -14 Divide each side by '7'. v = -2 Simplifying v = -2
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