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Simplifying -22 = 7(1 + 3v) + -8 -22 = (1 * 7 + 3v * 7) + -8 -22 = (7 + 21v) + -8 Reorder the terms: -22 = 7 + -8 + 21v Combine like terms: 7 + -8 = -1 -22 = -1 + 21v Solving -22 = -1 + 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. -22 + -21v = -1 + 21v + -21v Combine like terms: 21v + -21v = 0 -22 + -21v = -1 + 0 -22 + -21v = -1 Add '22' to each side of the equation. -22 + 22 + -21v = -1 + 22 Combine like terms: -22 + 22 = 0 0 + -21v = -1 + 22 -21v = -1 + 22 Combine like terms: -1 + 22 = 21 -21v = 21 Divide each side by '-21'. v = -1 Simplifying v = -1
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