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Simplifying -5v + 6 = -8(4 + 3v) Reorder the terms: 6 + -5v = -8(4 + 3v) 6 + -5v = (4 * -8 + 3v * -8) 6 + -5v = (-32 + -24v) Solving 6 + -5v = -32 + -24v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '24v' to each side of the equation. 6 + -5v + 24v = -32 + -24v + 24v Combine like terms: -5v + 24v = 19v 6 + 19v = -32 + -24v + 24v Combine like terms: -24v + 24v = 0 6 + 19v = -32 + 0 6 + 19v = -32 Add '-6' to each side of the equation. 6 + -6 + 19v = -32 + -6 Combine like terms: 6 + -6 = 0 0 + 19v = -32 + -6 19v = -32 + -6 Combine like terms: -32 + -6 = -38 19v = -38 Divide each side by '19'. v = -2 Simplifying v = -2
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