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Simplifying -2v + -44 = -7(v + 2) Reorder the terms: -44 + -2v = -7(v + 2) Reorder the terms: -44 + -2v = -7(2 + v) -44 + -2v = (2 * -7 + v * -7) -44 + -2v = (-14 + -7v) Solving -44 + -2v = -14 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. -44 + -2v + 7v = -14 + -7v + 7v Combine like terms: -2v + 7v = 5v -44 + 5v = -14 + -7v + 7v Combine like terms: -7v + 7v = 0 -44 + 5v = -14 + 0 -44 + 5v = -14 Add '44' to each side of the equation. -44 + 44 + 5v = -14 + 44 Combine like terms: -44 + 44 = 0 0 + 5v = -14 + 44 5v = -14 + 44 Combine like terms: -14 + 44 = 30 5v = 30 Divide each side by '5'. v = 6 Simplifying v = 6
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