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Simplifying 18 = 3(v + 7) + -6v Reorder the terms: 18 = 3(7 + v) + -6v 18 = (7 * 3 + v * 3) + -6v 18 = (21 + 3v) + -6v Combine like terms: 3v + -6v = -3v 18 = 21 + -3v Solving 18 = 21 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 18 + 3v = 21 + -3v + 3v Combine like terms: -3v + 3v = 0 18 + 3v = 21 + 0 18 + 3v = 21 Add '-18' to each side of the equation. 18 + -18 + 3v = 21 + -18 Combine like terms: 18 + -18 = 0 0 + 3v = 21 + -18 3v = 21 + -18 Combine like terms: 21 + -18 = 3 3v = 3 Divide each side by '3'. v = 1 Simplifying v = 1
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