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Simplifying (3v + -2) + -1(v + 1) = V + (2V + 3) Reorder the terms: (-2 + 3v) + -1(v + 1) = V + (2V + 3) Remove parenthesis around (-2 + 3v) -2 + 3v + -1(v + 1) = V + (2V + 3) Reorder the terms: -2 + 3v + -1(1 + v) = V + (2V + 3) -2 + 3v + (1 * -1 + v * -1) = V + (2V + 3) -2 + 3v + (-1 + -1v) = V + (2V + 3) Reorder the terms: -2 + -1 + 3v + -1v = V + (2V + 3) Combine like terms: -2 + -1 = -3 -3 + 3v + -1v = V + (2V + 3) Combine like terms: 3v + -1v = 2v -3 + 2v = V + (2V + 3) Reorder the terms: -3 + 2v = V + (3 + 2V) Remove parenthesis around (3 + 2V) -3 + 2v = V + 3 + 2V Reorder the terms: -3 + 2v = 3 + V + 2V Combine like terms: V + 2V = 3V -3 + 2v = 3 + 3V Solving -3 + 2v = 3 + 3V Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2v = 3 + 3 + 3V Combine like terms: -3 + 3 = 0 0 + 2v = 3 + 3 + 3V 2v = 3 + 3 + 3V Combine like terms: 3 + 3 = 6 2v = 6 + 3V Divide each side by '2'. v = 3 + 1.5V Simplifying v = 3 + 1.5V
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