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Simplifying -77 = 7(1 + 3v) -77 = (1 * 7 + 3v * 7) -77 = (7 + 21v) Solving -77 = 7 + 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. -77 + -21v = 7 + 21v + -21v Combine like terms: 21v + -21v = 0 -77 + -21v = 7 + 0 -77 + -21v = 7 Add '77' to each side of the equation. -77 + 77 + -21v = 7 + 77 Combine like terms: -77 + 77 = 0 0 + -21v = 7 + 77 -21v = 7 + 77 Combine like terms: 7 + 77 = 84 -21v = 84 Divide each side by '-21'. v = -4 Simplifying v = -4
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