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Simplifying -4v + -35 = -9(v + 5) Reorder the terms: -35 + -4v = -9(v + 5) Reorder the terms: -35 + -4v = -9(5 + v) -35 + -4v = (5 * -9 + v * -9) -35 + -4v = (-45 + -9v) Solving -35 + -4v = -45 + -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. -35 + -4v + 9v = -45 + -9v + 9v Combine like terms: -4v + 9v = 5v -35 + 5v = -45 + -9v + 9v Combine like terms: -9v + 9v = 0 -35 + 5v = -45 + 0 -35 + 5v = -45 Add '35' to each side of the equation. -35 + 35 + 5v = -45 + 35 Combine like terms: -35 + 35 = 0 0 + 5v = -45 + 35 5v = -45 + 35 Combine like terms: -45 + 35 = -10 5v = -10 Divide each side by '5'. v = -2 Simplifying v = -2
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