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Simplifying 18 = 6(v + 7) + 6v Reorder the terms: 18 = 6(7 + v) + 6v 18 = (7 * 6 + v * 6) + 6v 18 = (42 + 6v) + 6v Combine like terms: 6v + 6v = 12v 18 = 42 + 12v Solving 18 = 42 + 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. 18 + -12v = 42 + 12v + -12v Combine like terms: 12v + -12v = 0 18 + -12v = 42 + 0 18 + -12v = 42 Add '-18' to each side of the equation. 18 + -18 + -12v = 42 + -18 Combine like terms: 18 + -18 = 0 0 + -12v = 42 + -18 -12v = 42 + -18 Combine like terms: 42 + -18 = 24 -12v = 24 Divide each side by '-12'. v = -2 Simplifying v = -2
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