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Simplifying -17 = 7(3v + 8) Reorder the terms: -17 = 7(8 + 3v) -17 = (8 * 7 + 3v * 7) -17 = (56 + 21v) Solving -17 = 56 + 21v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-21v' to each side of the equation. -17 + -21v = 56 + 21v + -21v Combine like terms: 21v + -21v = 0 -17 + -21v = 56 + 0 -17 + -21v = 56 Add '17' to each side of the equation. -17 + 17 + -21v = 56 + 17 Combine like terms: -17 + 17 = 0 0 + -21v = 56 + 17 -21v = 56 + 17 Combine like terms: 56 + 17 = 73 -21v = 73 Divide each side by '-21'. v = -3.476190476 Simplifying v = -3.476190476
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