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Simplifying 6v + 18 = 4(2v + 6) Reorder the terms: 18 + 6v = 4(2v + 6) Reorder the terms: 18 + 6v = 4(6 + 2v) 18 + 6v = (6 * 4 + 2v * 4) 18 + 6v = (24 + 8v) Solving 18 + 6v = 24 + 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. 18 + 6v + -8v = 24 + 8v + -8v Combine like terms: 6v + -8v = -2v 18 + -2v = 24 + 8v + -8v Combine like terms: 8v + -8v = 0 18 + -2v = 24 + 0 18 + -2v = 24 Add '-18' to each side of the equation. 18 + -18 + -2v = 24 + -18 Combine like terms: 18 + -18 = 0 0 + -2v = 24 + -18 -2v = 24 + -18 Combine like terms: 24 + -18 = 6 -2v = 6 Divide each side by '-2'. v = -3 Simplifying v = -3
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