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Simplifying -138 = 6(-4v + -3) + -6 Reorder the terms: -138 = 6(-3 + -4v) + -6 -138 = (-3 * 6 + -4v * 6) + -6 -138 = (-18 + -24v) + -6 Reorder the terms: -138 = -18 + -6 + -24v Combine like terms: -18 + -6 = -24 -138 = -24 + -24v Solving -138 = -24 + -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. -138 + 24v = -24 + -24v + 24v Combine like terms: -24v + 24v = 0 -138 + 24v = -24 + 0 -138 + 24v = -24 Add '138' to each side of the equation. -138 + 138 + 24v = -24 + 138 Combine like terms: -138 + 138 = 0 0 + 24v = -24 + 138 24v = -24 + 138 Combine like terms: -24 + 138 = 114 24v = 114 Divide each side by '24'. v = 4.75 Simplifying v = 4.75
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