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Simplifying 7v + 7 = 19v + -3v + 61 Reorder the terms: 7 + 7v = 19v + -3v + 61 Reorder the terms: 7 + 7v = 61 + 19v + -3v Combine like terms: 19v + -3v = 16v 7 + 7v = 61 + 16v Solving 7 + 7v = 61 + 16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-16v' to each side of the equation. 7 + 7v + -16v = 61 + 16v + -16v Combine like terms: 7v + -16v = -9v 7 + -9v = 61 + 16v + -16v Combine like terms: 16v + -16v = 0 7 + -9v = 61 + 0 7 + -9v = 61 Add '-7' to each side of the equation. 7 + -7 + -9v = 61 + -7 Combine like terms: 7 + -7 = 0 0 + -9v = 61 + -7 -9v = 61 + -7 Combine like terms: 61 + -7 = 54 -9v = 54 Divide each side by '-9'. v = -6 Simplifying v = -6
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