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Simplifying 6(v + -3) = 3v + -48 Reorder the terms: 6(-3 + v) = 3v + -48 (-3 * 6 + v * 6) = 3v + -48 (-18 + 6v) = 3v + -48 Reorder the terms: -18 + 6v = -48 + 3v Solving -18 + 6v = -48 + 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 + 6v + -3v = -48 + 3v + -3v Combine like terms: 6v + -3v = 3v -18 + 3v = -48 + 3v + -3v Combine like terms: 3v + -3v = 0 -18 + 3v = -48 + 0 -18 + 3v = -48 Add '18' to each side of the equation. -18 + 18 + 3v = -48 + 18 Combine like terms: -18 + 18 = 0 0 + 3v = -48 + 18 3v = -48 + 18 Combine like terms: -48 + 18 = -30 3v = -30 Divide each side by '3'. v = -10 Simplifying v = -10
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