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Simplifying 4(v + -3) = -4(v + -3) Reorder the terms: 4(-3 + v) = -4(v + -3) (-3 * 4 + v * 4) = -4(v + -3) (-12 + 4v) = -4(v + -3) Reorder the terms: -12 + 4v = -4(-3 + v) -12 + 4v = (-3 * -4 + v * -4) -12 + 4v = (12 + -4v) Solving -12 + 4v = 12 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -12 + 4v + 4v = 12 + -4v + 4v Combine like terms: 4v + 4v = 8v -12 + 8v = 12 + -4v + 4v Combine like terms: -4v + 4v = 0 -12 + 8v = 12 + 0 -12 + 8v = 12 Add '12' to each side of the equation. -12 + 12 + 8v = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 8v = 12 + 12 8v = 12 + 12 Combine like terms: 12 + 12 = 24 8v = 24 Divide each side by '8'. v = 3 Simplifying v = 3
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