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Simplifying -5(v + 9) = -7v + -49 Reorder the terms: -5(9 + v) = -7v + -49 (9 * -5 + v * -5) = -7v + -49 (-45 + -5v) = -7v + -49 Reorder the terms: -45 + -5v = -49 + -7v Solving -45 + -5v = -49 + -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. -45 + -5v + 7v = -49 + -7v + 7v Combine like terms: -5v + 7v = 2v -45 + 2v = -49 + -7v + 7v Combine like terms: -7v + 7v = 0 -45 + 2v = -49 + 0 -45 + 2v = -49 Add '45' to each side of the equation. -45 + 45 + 2v = -49 + 45 Combine like terms: -45 + 45 = 0 0 + 2v = -49 + 45 2v = -49 + 45 Combine like terms: -49 + 45 = -4 2v = -4 Divide each side by '2'. v = -2 Simplifying v = -2
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