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Simplifying -24 + -7v = 6(4v + 5) Reorder the terms: -24 + -7v = 6(5 + 4v) -24 + -7v = (5 * 6 + 4v * 6) -24 + -7v = (30 + 24v) Solving -24 + -7v = 30 + 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. -24 + -7v + -24v = 30 + 24v + -24v Combine like terms: -7v + -24v = -31v -24 + -31v = 30 + 24v + -24v Combine like terms: 24v + -24v = 0 -24 + -31v = 30 + 0 -24 + -31v = 30 Add '24' to each side of the equation. -24 + 24 + -31v = 30 + 24 Combine like terms: -24 + 24 = 0 0 + -31v = 30 + 24 -31v = 30 + 24 Combine like terms: 30 + 24 = 54 -31v = 54 Divide each side by '-31'. v = -1.741935484 Simplifying v = -1.741935484
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