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Simplifying 6v + 48 = 6v + -30 + -1v + 6 Reorder the terms: 48 + 6v = 6v + -30 + -1v + 6 Reorder the terms: 48 + 6v = -30 + 6 + 6v + -1v Combine like terms: -30 + 6 = -24 48 + 6v = -24 + 6v + -1v Combine like terms: 6v + -1v = 5v 48 + 6v = -24 + 5v Solving 48 + 6v = -24 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 48 + 6v + -5v = -24 + 5v + -5v Combine like terms: 6v + -5v = 1v 48 + 1v = -24 + 5v + -5v Combine like terms: 5v + -5v = 0 48 + 1v = -24 + 0 48 + 1v = -24 Add '-48' to each side of the equation. 48 + -48 + 1v = -24 + -48 Combine like terms: 48 + -48 = 0 0 + 1v = -24 + -48 1v = -24 + -48 Combine like terms: -24 + -48 = -72 1v = -72 Divide each side by '1'. v = -72 Simplifying v = -72
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