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Simplifying 102 = 12v + 15 + -4v + -7 Reorder the terms: 102 = 15 + -7 + 12v + -4v Combine like terms: 15 + -7 = 8 102 = 8 + 12v + -4v Combine like terms: 12v + -4v = 8v 102 = 8 + 8v Solving 102 = 8 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 102 + -8v = 8 + 8v + -8v Combine like terms: 8v + -8v = 0 102 + -8v = 8 + 0 102 + -8v = 8 Add '-102' to each side of the equation. 102 + -102 + -8v = 8 + -102 Combine like terms: 102 + -102 = 0 0 + -8v = 8 + -102 -8v = 8 + -102 Combine like terms: 8 + -102 = -94 -8v = -94 Divide each side by '-8'. v = 11.75 Simplifying v = 11.75
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