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Simplifying -102 = 6v + 2(3v + -3) Reorder the terms: -102 = 6v + 2(-3 + 3v) -102 = 6v + (-3 * 2 + 3v * 2) -102 = 6v + (-6 + 6v) Reorder the terms: -102 = -6 + 6v + 6v Combine like terms: 6v + 6v = 12v -102 = -6 + 12v Solving -102 = -6 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. -102 + -12v = -6 + 12v + -12v Combine like terms: 12v + -12v = 0 -102 + -12v = -6 + 0 -102 + -12v = -6 Add '102' to each side of the equation. -102 + 102 + -12v = -6 + 102 Combine like terms: -102 + 102 = 0 0 + -12v = -6 + 102 -12v = -6 + 102 Combine like terms: -6 + 102 = 96 -12v = 96 Divide each side by '-12'. v = -8 Simplifying v = -8
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