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Simplifying 6v + 18 = -6(4v + -8) Reorder the terms: 18 + 6v = -6(4v + -8) Reorder the terms: 18 + 6v = -6(-8 + 4v) 18 + 6v = (-8 * -6 + 4v * -6) 18 + 6v = (48 + -24v) Solving 18 + 6v = 48 + -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. 18 + 6v + 24v = 48 + -24v + 24v Combine like terms: 6v + 24v = 30v 18 + 30v = 48 + -24v + 24v Combine like terms: -24v + 24v = 0 18 + 30v = 48 + 0 18 + 30v = 48 Add '-18' to each side of the equation. 18 + -18 + 30v = 48 + -18 Combine like terms: 18 + -18 = 0 0 + 30v = 48 + -18 30v = 48 + -18 Combine like terms: 48 + -18 = 30 30v = 30 Divide each side by '30'. v = 1 Simplifying v = 1
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