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Simplifying 9v + -44 = -7(v + 4) Reorder the terms: -44 + 9v = -7(v + 4) Reorder the terms: -44 + 9v = -7(4 + v) -44 + 9v = (4 * -7 + v * -7) -44 + 9v = (-28 + -7v) Solving -44 + 9v = -28 + -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 + 9v + 7v = -28 + -7v + 7v Combine like terms: 9v + 7v = 16v -44 + 16v = -28 + -7v + 7v Combine like terms: -7v + 7v = 0 -44 + 16v = -28 + 0 -44 + 16v = -28 Add '44' to each side of the equation. -44 + 44 + 16v = -28 + 44 Combine like terms: -44 + 44 = 0 0 + 16v = -28 + 44 16v = -28 + 44 Combine like terms: -28 + 44 = 16 16v = 16 Divide each side by '16'. v = 1 Simplifying v = 1
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