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Simplifying 3(v + -2) = 5v + 7 + -2(-8v + -1) Reorder the terms: 3(-2 + v) = 5v + 7 + -2(-8v + -1) (-2 * 3 + v * 3) = 5v + 7 + -2(-8v + -1) (-6 + 3v) = 5v + 7 + -2(-8v + -1) Reorder the terms: -6 + 3v = 5v + 7 + -2(-1 + -8v) -6 + 3v = 5v + 7 + (-1 * -2 + -8v * -2) -6 + 3v = 5v + 7 + (2 + 16v) Reorder the terms: -6 + 3v = 7 + 2 + 5v + 16v Combine like terms: 7 + 2 = 9 -6 + 3v = 9 + 5v + 16v Combine like terms: 5v + 16v = 21v -6 + 3v = 9 + 21v Solving -6 + 3v = 9 + 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. -6 + 3v + -21v = 9 + 21v + -21v Combine like terms: 3v + -21v = -18v -6 + -18v = 9 + 21v + -21v Combine like terms: 21v + -21v = 0 -6 + -18v = 9 + 0 -6 + -18v = 9 Add '6' to each side of the equation. -6 + 6 + -18v = 9 + 6 Combine like terms: -6 + 6 = 0 0 + -18v = 9 + 6 -18v = 9 + 6 Combine like terms: 9 + 6 = 15 -18v = 15 Divide each side by '-18'. v = -0.8333333333 Simplifying v = -0.8333333333
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