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Simplifying 71 + -6v + -10v + 32 = -4v + 7 Reorder the terms: 71 + 32 + -6v + -10v = -4v + 7 Combine like terms: 71 + 32 = 103 103 + -6v + -10v = -4v + 7 Combine like terms: -6v + -10v = -16v 103 + -16v = -4v + 7 Reorder the terms: 103 + -16v = 7 + -4v Solving 103 + -16v = 7 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 103 + -16v + 4v = 7 + -4v + 4v Combine like terms: -16v + 4v = -12v 103 + -12v = 7 + -4v + 4v Combine like terms: -4v + 4v = 0 103 + -12v = 7 + 0 103 + -12v = 7 Add '-103' to each side of the equation. 103 + -103 + -12v = 7 + -103 Combine like terms: 103 + -103 = 0 0 + -12v = 7 + -103 -12v = 7 + -103 Combine like terms: 7 + -103 = -96 -12v = -96 Divide each side by '-12'. v = 8 Simplifying v = 8
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