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Simplifying -9(v + 5) = -4v + -355 Reorder the terms: -9(5 + v) = -4v + -355 (5 * -9 + v * -9) = -4v + -355 (-45 + -9v) = -4v + -355 Reorder the terms: -45 + -9v = -355 + -4v Solving -45 + -9v = -355 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -45 + -9v + 4v = -355 + -4v + 4v Combine like terms: -9v + 4v = -5v -45 + -5v = -355 + -4v + 4v Combine like terms: -4v + 4v = 0 -45 + -5v = -355 + 0 -45 + -5v = -355 Add '45' to each side of the equation. -45 + 45 + -5v = -355 + 45 Combine like terms: -45 + 45 = 0 0 + -5v = -355 + 45 -5v = -355 + 45 Combine like terms: -355 + 45 = -310 -5v = -310 Divide each side by '-5'. v = 62 Simplifying v = 62
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