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Simplifying -4(v + 3) = 2v + -30 Reorder the terms: -4(3 + v) = 2v + -30 (3 * -4 + v * -4) = 2v + -30 (-12 + -4v) = 2v + -30 Reorder the terms: -12 + -4v = -30 + 2v Solving -12 + -4v = -30 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -12 + -4v + -2v = -30 + 2v + -2v Combine like terms: -4v + -2v = -6v -12 + -6v = -30 + 2v + -2v Combine like terms: 2v + -2v = 0 -12 + -6v = -30 + 0 -12 + -6v = -30 Add '12' to each side of the equation. -12 + 12 + -6v = -30 + 12 Combine like terms: -12 + 12 = 0 0 + -6v = -30 + 12 -6v = -30 + 12 Combine like terms: -30 + 12 = -18 -6v = -18 Divide each side by '-6'. v = 3 Simplifying v = 3
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