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Simplifying V + -4 + 4(3v + 2) = 5(v + 1) Reorder the terms: V + -4 + 4(2 + 3v) = 5(v + 1) V + -4 + (2 * 4 + 3v * 4) = 5(v + 1) V + -4 + (8 + 12v) = 5(v + 1) Reorder the terms: -4 + 8 + V + 12v = 5(v + 1) Combine like terms: -4 + 8 = 4 4 + V + 12v = 5(v + 1) Reorder the terms: 4 + V + 12v = 5(1 + v) 4 + V + 12v = (1 * 5 + v * 5) 4 + V + 12v = (5 + 5v) Solving 4 + V + 12v = 5 + 5v Solving for variable 'V'. Move all terms containing V to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + V + -4 + 12v = 5 + -4 + 5v Reorder the terms: 4 + -4 + V + 12v = 5 + -4 + 5v Combine like terms: 4 + -4 = 0 0 + V + 12v = 5 + -4 + 5v V + 12v = 5 + -4 + 5v Combine like terms: 5 + -4 = 1 V + 12v = 1 + 5v Add '-12v' to each side of the equation. V + 12v + -12v = 1 + 5v + -12v Combine like terms: 12v + -12v = 0 V + 0 = 1 + 5v + -12v V = 1 + 5v + -12v Combine like terms: 5v + -12v = -7v V = 1 + -7v Simplifying V = 1 + -7v
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