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Simplifying -8 = 2(V + 1) + -2(1 + 3v) Reorder the terms: -8 = 2(1 + V) + -2(1 + 3v) -8 = (1 * 2 + V * 2) + -2(1 + 3v) -8 = (2 + 2V) + -2(1 + 3v) -8 = 2 + 2V + (1 * -2 + 3v * -2) -8 = 2 + 2V + (-2 + -6v) Reorder the terms: -8 = 2 + -2 + 2V + -6v Combine like terms: 2 + -2 = 0 -8 = 0 + 2V + -6v -8 = 2V + -6v Solving -8 = 2V + -6v 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. -8 + -2V = 2V + -2V + -6v Combine like terms: 2V + -2V = 0 -8 + -2V = 0 + -6v -8 + -2V = -6v Add '8' to each side of the equation. -8 + 8 + -2V = 8 + -6v Combine like terms: -8 + 8 = 0 0 + -2V = 8 + -6v -2V = 8 + -6v Divide each side by '-2'. V = -4 + 3v Simplifying V = -4 + 3v
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