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Simplifying 2(4v + -5) = 7(11 + -3v) Reorder the terms: 2(-5 + 4v) = 7(11 + -3v) (-5 * 2 + 4v * 2) = 7(11 + -3v) (-10 + 8v) = 7(11 + -3v) -10 + 8v = (11 * 7 + -3v * 7) -10 + 8v = (77 + -21v) Solving -10 + 8v = 77 + -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. -10 + 8v + 21v = 77 + -21v + 21v Combine like terms: 8v + 21v = 29v -10 + 29v = 77 + -21v + 21v Combine like terms: -21v + 21v = 0 -10 + 29v = 77 + 0 -10 + 29v = 77 Add '10' to each side of the equation. -10 + 10 + 29v = 77 + 10 Combine like terms: -10 + 10 = 0 0 + 29v = 77 + 10 29v = 77 + 10 Combine like terms: 77 + 10 = 87 29v = 87 Divide each side by '29'. v = 3 Simplifying v = 3
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