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Simplifying 10v + -78 = v + 75 Reorder the terms: -78 + 10v = v + 75 Reorder the terms: -78 + 10v = 75 + v Solving -78 + 10v = 75 + 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. -78 + 10v + -1v = 75 + v + -1v Combine like terms: 10v + -1v = 9v -78 + 9v = 75 + v + -1v Combine like terms: v + -1v = 0 -78 + 9v = 75 + 0 -78 + 9v = 75 Add '78' to each side of the equation. -78 + 78 + 9v = 75 + 78 Combine like terms: -78 + 78 = 0 0 + 9v = 75 + 78 9v = 75 + 78 Combine like terms: 75 + 78 = 153 9v = 153 Divide each side by '9'. v = 17 Simplifying v = 17
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