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Simplifying 5v + 4 + -2(-3v + -4) = 3(v + -2) Reorder the terms: 5v + 4 + -2(-4 + -3v) = 3(v + -2) 5v + 4 + (-4 * -2 + -3v * -2) = 3(v + -2) 5v + 4 + (8 + 6v) = 3(v + -2) Reorder the terms: 4 + 8 + 5v + 6v = 3(v + -2) Combine like terms: 4 + 8 = 12 12 + 5v + 6v = 3(v + -2) Combine like terms: 5v + 6v = 11v 12 + 11v = 3(v + -2) Reorder the terms: 12 + 11v = 3(-2 + v) 12 + 11v = (-2 * 3 + v * 3) 12 + 11v = (-6 + 3v) Solving 12 + 11v = -6 + 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. 12 + 11v + -3v = -6 + 3v + -3v Combine like terms: 11v + -3v = 8v 12 + 8v = -6 + 3v + -3v Combine like terms: 3v + -3v = 0 12 + 8v = -6 + 0 12 + 8v = -6 Add '-12' to each side of the equation. 12 + -12 + 8v = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 8v = -6 + -12 8v = -6 + -12 Combine like terms: -6 + -12 = -18 8v = -18 Divide each side by '8'. v = -2.25 Simplifying v = -2.25
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