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Simplifying 2v + 18(3 + -7v) = 54 + -13v 2v + (3 * 18 + -7v * 18) = 54 + -13v 2v + (54 + -126v) = 54 + -13v Reorder the terms: 54 + 2v + -126v = 54 + -13v Combine like terms: 2v + -126v = -124v 54 + -124v = 54 + -13v Add '-54' to each side of the equation. 54 + -54 + -124v = 54 + -54 + -13v Combine like terms: 54 + -54 = 0 0 + -124v = 54 + -54 + -13v -124v = 54 + -54 + -13v Combine like terms: 54 + -54 = 0 -124v = 0 + -13v -124v = -13v Solving -124v = -13v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '13v' to each side of the equation. -124v + 13v = -13v + 13v Combine like terms: -124v + 13v = -111v -111v = -13v + 13v Combine like terms: -13v + 13v = 0 -111v = 0 Divide each side by '-111'. v = 0 Simplifying v = 0
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