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Simplifying 15(v + 1) + -3V = 4(3v + 4) + -17 Reorder the terms: 15(1 + v) + -3V = 4(3v + 4) + -17 (1 * 15 + v * 15) + -3V = 4(3v + 4) + -17 (15 + 15v) + -3V = 4(3v + 4) + -17 Reorder the terms: 15 + -3V + 15v = 4(3v + 4) + -17 Reorder the terms: 15 + -3V + 15v = 4(4 + 3v) + -17 15 + -3V + 15v = (4 * 4 + 3v * 4) + -17 15 + -3V + 15v = (16 + 12v) + -17 Reorder the terms: 15 + -3V + 15v = 16 + -17 + 12v Combine like terms: 16 + -17 = -1 15 + -3V + 15v = -1 + 12v Solving 15 + -3V + 15v = -1 + 12v Solving for variable 'V'. Move all terms containing V to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -3V + -15 + 15v = -1 + -15 + 12v Reorder the terms: 15 + -15 + -3V + 15v = -1 + -15 + 12v Combine like terms: 15 + -15 = 0 0 + -3V + 15v = -1 + -15 + 12v -3V + 15v = -1 + -15 + 12v Combine like terms: -1 + -15 = -16 -3V + 15v = -16 + 12v Add '-15v' to each side of the equation. -3V + 15v + -15v = -16 + 12v + -15v Combine like terms: 15v + -15v = 0 -3V + 0 = -16 + 12v + -15v -3V = -16 + 12v + -15v Combine like terms: 12v + -15v = -3v -3V = -16 + -3v Divide each side by '-3'. V = 5.333333333 + v Simplifying V = 5.333333333 + v
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