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Simplifying -9(v + 5) = -7v + -37 Reorder the terms: -9(5 + v) = -7v + -37 (5 * -9 + v * -9) = -7v + -37 (-45 + -9v) = -7v + -37 Reorder the terms: -45 + -9v = -37 + -7v Solving -45 + -9v = -37 + -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 + -9v + 7v = -37 + -7v + 7v Combine like terms: -9v + 7v = -2v -45 + -2v = -37 + -7v + 7v Combine like terms: -7v + 7v = 0 -45 + -2v = -37 + 0 -45 + -2v = -37 Add '45' to each side of the equation. -45 + 45 + -2v = -37 + 45 Combine like terms: -45 + 45 = 0 0 + -2v = -37 + 45 -2v = -37 + 45 Combine like terms: -37 + 45 = 8 -2v = 8 Divide each side by '-2'. v = -4 Simplifying v = -4
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