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Simplifying -4v + -46 = -9(v + 4) Reorder the terms: -46 + -4v = -9(v + 4) Reorder the terms: -46 + -4v = -9(4 + v) -46 + -4v = (4 * -9 + v * -9) -46 + -4v = (-36 + -9v) Solving -46 + -4v = -36 + -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. -46 + -4v + 9v = -36 + -9v + 9v Combine like terms: -4v + 9v = 5v -46 + 5v = -36 + -9v + 9v Combine like terms: -9v + 9v = 0 -46 + 5v = -36 + 0 -46 + 5v = -36 Add '46' to each side of the equation. -46 + 46 + 5v = -36 + 46 Combine like terms: -46 + 46 = 0 0 + 5v = -36 + 46 5v = -36 + 46 Combine like terms: -36 + 46 = 10 5v = 10 Divide each side by '5'. v = 2 Simplifying v = 2
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