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Simplifying 13(v + 1) + -4V = 3(3v + 3) + -12 Reorder the terms: 13(1 + v) + -4V = 3(3v + 3) + -12 (1 * 13 + v * 13) + -4V = 3(3v + 3) + -12 (13 + 13v) + -4V = 3(3v + 3) + -12 Reorder the terms: 13 + -4V + 13v = 3(3v + 3) + -12 Reorder the terms: 13 + -4V + 13v = 3(3 + 3v) + -12 13 + -4V + 13v = (3 * 3 + 3v * 3) + -12 13 + -4V + 13v = (9 + 9v) + -12 Reorder the terms: 13 + -4V + 13v = 9 + -12 + 9v Combine like terms: 9 + -12 = -3 13 + -4V + 13v = -3 + 9v Solving 13 + -4V + 13v = -3 + 9v Solving for variable 'V'. Move all terms containing V to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -4V + -13 + 13v = -3 + -13 + 9v Reorder the terms: 13 + -13 + -4V + 13v = -3 + -13 + 9v Combine like terms: 13 + -13 = 0 0 + -4V + 13v = -3 + -13 + 9v -4V + 13v = -3 + -13 + 9v Combine like terms: -3 + -13 = -16 -4V + 13v = -16 + 9v Add '-13v' to each side of the equation. -4V + 13v + -13v = -16 + 9v + -13v Combine like terms: 13v + -13v = 0 -4V + 0 = -16 + 9v + -13v -4V = -16 + 9v + -13v Combine like terms: 9v + -13v = -4v -4V = -16 + -4v Divide each side by '-4'. V = 4 + v Simplifying V = 4 + v
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