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Simplifying 77 = -1(v + -7) + -5(7 + 4v) Reorder the terms: 77 = -1(-7 + v) + -5(7 + 4v) 77 = (-7 * -1 + v * -1) + -5(7 + 4v) 77 = (7 + -1v) + -5(7 + 4v) 77 = 7 + -1v + (7 * -5 + 4v * -5) 77 = 7 + -1v + (-35 + -20v) Reorder the terms: 77 = 7 + -35 + -1v + -20v Combine like terms: 7 + -35 = -28 77 = -28 + -1v + -20v Combine like terms: -1v + -20v = -21v 77 = -28 + -21v Solving 77 = -28 + -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 = -28 + -21v + 21v Combine like terms: -21v + 21v = 0 77 + 21v = -28 + 0 77 + 21v = -28 Add '-77' to each side of the equation. 77 + -77 + 21v = -28 + -77 Combine like terms: 77 + -77 = 0 0 + 21v = -28 + -77 21v = -28 + -77 Combine like terms: -28 + -77 = -105 21v = -105 Divide each side by '21'. v = -5 Simplifying v = -5
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