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Simplifying 4v + -5 = 9(v + -5) Reorder the terms: -5 + 4v = 9(v + -5) Reorder the terms: -5 + 4v = 9(-5 + v) -5 + 4v = (-5 * 9 + v * 9) -5 + 4v = (-45 + 9v) Solving -5 + 4v = -45 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. -5 + 4v + -9v = -45 + 9v + -9v Combine like terms: 4v + -9v = -5v -5 + -5v = -45 + 9v + -9v Combine like terms: 9v + -9v = 0 -5 + -5v = -45 + 0 -5 + -5v = -45 Add '5' to each side of the equation. -5 + 5 + -5v = -45 + 5 Combine like terms: -5 + 5 = 0 0 + -5v = -45 + 5 -5v = -45 + 5 Combine like terms: -45 + 5 = -40 -5v = -40 Divide each side by '-5'. v = 8 Simplifying v = 8
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