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Simplifying 13v + -2v + -1 = 4v + 48 Reorder the terms: -1 + 13v + -2v = 4v + 48 Combine like terms: 13v + -2v = 11v -1 + 11v = 4v + 48 Reorder the terms: -1 + 11v = 48 + 4v Solving -1 + 11v = 48 + 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. -1 + 11v + -4v = 48 + 4v + -4v Combine like terms: 11v + -4v = 7v -1 + 7v = 48 + 4v + -4v Combine like terms: 4v + -4v = 0 -1 + 7v = 48 + 0 -1 + 7v = 48 Add '1' to each side of the equation. -1 + 1 + 7v = 48 + 1 Combine like terms: -1 + 1 = 0 0 + 7v = 48 + 1 7v = 48 + 1 Combine like terms: 48 + 1 = 49 7v = 49 Divide each side by '7'. v = 7 Simplifying v = 7
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