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Simplifying v + 42 = 7v Reorder the terms: 42 + v = 7v Solving 42 + v = 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 42 + v + -7v = 7v + -7v Combine like terms: v + -7v = -6v 42 + -6v = 7v + -7v Combine like terms: 7v + -7v = 0 42 + -6v = 0 Add '-42' to each side of the equation. 42 + -42 + -6v = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -6v = 0 + -42 -6v = 0 + -42 Combine like terms: 0 + -42 = -42 -6v = -42 Divide each side by '-6'. v = 7 Simplifying v = 7
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