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Simplifying 3v + -18 = 6(1 + v) Reorder the terms: -18 + 3v = 6(1 + v) -18 + 3v = (1 * 6 + v * 6) -18 + 3v = (6 + 6v) Solving -18 + 3v = 6 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -18 + 3v + -6v = 6 + 6v + -6v Combine like terms: 3v + -6v = -3v -18 + -3v = 6 + 6v + -6v Combine like terms: 6v + -6v = 0 -18 + -3v = 6 + 0 -18 + -3v = 6 Add '18' to each side of the equation. -18 + 18 + -3v = 6 + 18 Combine like terms: -18 + 18 = 0 0 + -3v = 6 + 18 -3v = 6 + 18 Combine like terms: 6 + 18 = 24 -3v = 24 Divide each side by '-3'. v = -8 Simplifying v = -8
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