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Simplifying 7v + 42 = 5v + 8 + 4v + 10 Reorder the terms: 42 + 7v = 5v + 8 + 4v + 10 Reorder the terms: 42 + 7v = 8 + 10 + 5v + 4v Combine like terms: 8 + 10 = 18 42 + 7v = 18 + 5v + 4v Combine like terms: 5v + 4v = 9v 42 + 7v = 18 + 9v Solving 42 + 7v = 18 + 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. 42 + 7v + -9v = 18 + 9v + -9v Combine like terms: 7v + -9v = -2v 42 + -2v = 18 + 9v + -9v Combine like terms: 9v + -9v = 0 42 + -2v = 18 + 0 42 + -2v = 18 Add '-42' to each side of the equation. 42 + -42 + -2v = 18 + -42 Combine like terms: 42 + -42 = 0 0 + -2v = 18 + -42 -2v = 18 + -42 Combine like terms: 18 + -42 = -24 -2v = -24 Divide each side by '-2'. v = 12 Simplifying v = 12
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