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Simplifying (v + 1) + -2V = 2(3v + 4) + -10 Reorder the terms: (1 + v) + -2V = 2(3v + 4) + -10 Remove parenthesis around (1 + v) 1 + v + -2V = 2(3v + 4) + -10 Reorder the terms: 1 + -2V + v = 2(3v + 4) + -10 Reorder the terms: 1 + -2V + v = 2(4 + 3v) + -10 1 + -2V + v = (4 * 2 + 3v * 2) + -10 1 + -2V + v = (8 + 6v) + -10 Reorder the terms: 1 + -2V + v = 8 + -10 + 6v Combine like terms: 8 + -10 = -2 1 + -2V + v = -2 + 6v Solving 1 + -2V + v = -2 + 6v Solving for variable 'V'. Move all terms containing V to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -2V + -1 + v = -2 + -1 + 6v Reorder the terms: 1 + -1 + -2V + v = -2 + -1 + 6v Combine like terms: 1 + -1 = 0 0 + -2V + v = -2 + -1 + 6v -2V + v = -2 + -1 + 6v Combine like terms: -2 + -1 = -3 -2V + v = -3 + 6v Add '-1v' to each side of the equation. -2V + v + -1v = -3 + 6v + -1v Combine like terms: v + -1v = 0 -2V + 0 = -3 + 6v + -1v -2V = -3 + 6v + -1v Combine like terms: 6v + -1v = 5v -2V = -3 + 5v Divide each side by '-2'. V = 1.5 + -2.5v Simplifying V = 1.5 + -2.5v
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