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Simplifying -4(6v + -2) + 3v = -5(v + 2) Reorder the terms: -4(-2 + 6v) + 3v = -5(v + 2) (-2 * -4 + 6v * -4) + 3v = -5(v + 2) (8 + -24v) + 3v = -5(v + 2) Combine like terms: -24v + 3v = -21v 8 + -21v = -5(v + 2) Reorder the terms: 8 + -21v = -5(2 + v) 8 + -21v = (2 * -5 + v * -5) 8 + -21v = (-10 + -5v) Solving 8 + -21v = -10 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 8 + -21v + 5v = -10 + -5v + 5v Combine like terms: -21v + 5v = -16v 8 + -16v = -10 + -5v + 5v Combine like terms: -5v + 5v = 0 8 + -16v = -10 + 0 8 + -16v = -10 Add '-8' to each side of the equation. 8 + -8 + -16v = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -16v = -10 + -8 -16v = -10 + -8 Combine like terms: -10 + -8 = -18 -16v = -18 Divide each side by '-16'. v = 1.125 Simplifying v = 1.125
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