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Simplifying 15 + -3v + -7 + 7 = -1v + 4 + 1 Reorder the terms: 15 + -7 + 7 + -3v = -1v + 4 + 1 Combine like terms: 15 + -7 = 8 8 + 7 + -3v = -1v + 4 + 1 Combine like terms: 8 + 7 = 15 15 + -3v = -1v + 4 + 1 Reorder the terms: 15 + -3v = 4 + 1 + -1v Combine like terms: 4 + 1 = 5 15 + -3v = 5 + -1v Solving 15 + -3v = 5 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. 15 + -3v + v = 5 + -1v + v Combine like terms: -3v + v = -2v 15 + -2v = 5 + -1v + v Combine like terms: -1v + v = 0 15 + -2v = 5 + 0 15 + -2v = 5 Add '-15' to each side of the equation. 15 + -15 + -2v = 5 + -15 Combine like terms: 15 + -15 = 0 0 + -2v = 5 + -15 -2v = 5 + -15 Combine like terms: 5 + -15 = -10 -2v = -10 Divide each side by '-2'. v = 5 Simplifying v = 5
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