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Simplifying -4v + -14 = -9(v + 1) Reorder the terms: -14 + -4v = -9(v + 1) Reorder the terms: -14 + -4v = -9(1 + v) -14 + -4v = (1 * -9 + v * -9) -14 + -4v = (-9 + -9v) Solving -14 + -4v = -9 + -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. -14 + -4v + 9v = -9 + -9v + 9v Combine like terms: -4v + 9v = 5v -14 + 5v = -9 + -9v + 9v Combine like terms: -9v + 9v = 0 -14 + 5v = -9 + 0 -14 + 5v = -9 Add '14' to each side of the equation. -14 + 14 + 5v = -9 + 14 Combine like terms: -14 + 14 = 0 0 + 5v = -9 + 14 5v = -9 + 14 Combine like terms: -9 + 14 = 5 5v = 5 Divide each side by '5'. v = 1 Simplifying v = 1
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