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Simplifying 7v + -74 = v + 10 Reorder the terms: -74 + 7v = v + 10 Reorder the terms: -74 + 7v = 10 + v Solving -74 + 7v = 10 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. -74 + 7v + -1v = 10 + v + -1v Combine like terms: 7v + -1v = 6v -74 + 6v = 10 + v + -1v Combine like terms: v + -1v = 0 -74 + 6v = 10 + 0 -74 + 6v = 10 Add '74' to each side of the equation. -74 + 74 + 6v = 10 + 74 Combine like terms: -74 + 74 = 0 0 + 6v = 10 + 74 6v = 10 + 74 Combine like terms: 10 + 74 = 84 6v = 84 Divide each side by '6'. v = 14 Simplifying v = 14
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