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Simplifying (3V + 12) + -1(V + 1) = V + (2v + 3) Reorder the terms: (12 + 3V) + -1(V + 1) = V + (2v + 3) Remove parenthesis around (12 + 3V) 12 + 3V + -1(V + 1) = V + (2v + 3) Reorder the terms: 12 + 3V + -1(1 + V) = V + (2v + 3) 12 + 3V + (1 * -1 + V * -1) = V + (2v + 3) 12 + 3V + (-1 + -1V) = V + (2v + 3) Reorder the terms: 12 + -1 + 3V + -1V = V + (2v + 3) Combine like terms: 12 + -1 = 11 11 + 3V + -1V = V + (2v + 3) Combine like terms: 3V + -1V = 2V 11 + 2V = V + (2v + 3) Reorder the terms: 11 + 2V = V + (3 + 2v) Remove parenthesis around (3 + 2v) 11 + 2V = V + 3 + 2v Reorder the terms: 11 + 2V = 3 + V + 2v Solving 11 + 2V = 3 + V + 2v Solving for variable 'V'. Move all terms containing V to the left, all other terms to the right. Add '-1V' to each side of the equation. 11 + 2V + -1V = 3 + V + -1V + 2v Combine like terms: 2V + -1V = 1V 11 + 1V = 3 + V + -1V + 2v Combine like terms: V + -1V = 0 11 + 1V = 3 + 0 + 2v 11 + 1V = 3 + 2v Add '-11' to each side of the equation. 11 + -11 + 1V = 3 + -11 + 2v Combine like terms: 11 + -11 = 0 0 + 1V = 3 + -11 + 2v 1V = 3 + -11 + 2v Combine like terms: 3 + -11 = -8 1V = -8 + 2v Divide each side by '1'. V = -8 + 2v Simplifying V = -8 + 2v
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