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Simplifying -30 = 6(v + -3) + -3v Reorder the terms: -30 = 6(-3 + v) + -3v -30 = (-3 * 6 + v * 6) + -3v -30 = (-18 + 6v) + -3v Combine like terms: 6v + -3v = 3v -30 = -18 + 3v Solving -30 = -18 + 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. -30 + -3v = -18 + 3v + -3v Combine like terms: 3v + -3v = 0 -30 + -3v = -18 + 0 -30 + -3v = -18 Add '30' to each side of the equation. -30 + 30 + -3v = -18 + 30 Combine like terms: -30 + 30 = 0 0 + -3v = -18 + 30 -3v = -18 + 30 Combine like terms: -18 + 30 = 12 -3v = 12 Divide each side by '-3'. v = -4 Simplifying v = -4
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