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Simplifying -5(v + 2) = -2(3v + -4) + 9v Reorder the terms: -5(2 + v) = -2(3v + -4) + 9v (2 * -5 + v * -5) = -2(3v + -4) + 9v (-10 + -5v) = -2(3v + -4) + 9v Reorder the terms: -10 + -5v = -2(-4 + 3v) + 9v -10 + -5v = (-4 * -2 + 3v * -2) + 9v -10 + -5v = (8 + -6v) + 9v Combine like terms: -6v + 9v = 3v -10 + -5v = 8 + 3v Solving -10 + -5v = 8 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -10 + -5v + -3v = 8 + 3v + -3v Combine like terms: -5v + -3v = -8v -10 + -8v = 8 + 3v + -3v Combine like terms: 3v + -3v = 0 -10 + -8v = 8 + 0 -10 + -8v = 8 Add '10' to each side of the equation. -10 + 10 + -8v = 8 + 10 Combine like terms: -10 + 10 = 0 0 + -8v = 8 + 10 -8v = 8 + 10 Combine like terms: 8 + 10 = 18 -8v = 18 Divide each side by '-8'. v = -2.25 Simplifying v = -2.25
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