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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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