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Simplifying 2 + 4(12v + 7) + -4w = 0 Reorder the terms: 2 + 4(7 + 12v) + -4w = 0 2 + (7 * 4 + 12v * 4) + -4w = 0 2 + (28 + 48v) + -4w = 0 Combine like terms: 2 + 28 = 30 30 + 48v + -4w = 0 Solving 30 + 48v + -4w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + 48v + -30 + -4w = 0 + -30 Reorder the terms: 30 + -30 + 48v + -4w = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 48v + -4w = 0 + -30 48v + -4w = 0 + -30 Combine like terms: 0 + -30 = -30 48v + -4w = -30 Add '4w' to each side of the equation. 48v + -4w + 4w = -30 + 4w Combine like terms: -4w + 4w = 0 48v + 0 = -30 + 4w 48v = -30 + 4w Divide each side by '48'. v = -0.625 + 0.08333333333w Simplifying v = -0.625 + 0.08333333333w
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