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Simplifying 4v + -24 = 9(v + -6) Reorder the terms: -24 + 4v = 9(v + -6) Reorder the terms: -24 + 4v = 9(-6 + v) -24 + 4v = (-6 * 9 + v * 9) -24 + 4v = (-54 + 9v) Solving -24 + 4v = -54 + 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. -24 + 4v + -9v = -54 + 9v + -9v Combine like terms: 4v + -9v = -5v -24 + -5v = -54 + 9v + -9v Combine like terms: 9v + -9v = 0 -24 + -5v = -54 + 0 -24 + -5v = -54 Add '24' to each side of the equation. -24 + 24 + -5v = -54 + 24 Combine like terms: -24 + 24 = 0 0 + -5v = -54 + 24 -5v = -54 + 24 Combine like terms: -54 + 24 = -30 -5v = -30 Divide each side by '-5'. v = 6 Simplifying v = 6
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