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Simplifying -138 = 6(-4v + -3) + -6v Reorder the terms: -138 = 6(-3 + -4v) + -6v -138 = (-3 * 6 + -4v * 6) + -6v -138 = (-18 + -24v) + -6v Combine like terms: -24v + -6v = -30v -138 = -18 + -30v Solving -138 = -18 + -30v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '30v' to each side of the equation. -138 + 30v = -18 + -30v + 30v Combine like terms: -30v + 30v = 0 -138 + 30v = -18 + 0 -138 + 30v = -18 Add '138' to each side of the equation. -138 + 138 + 30v = -18 + 138 Combine like terms: -138 + 138 = 0 0 + 30v = -18 + 138 30v = -18 + 138 Combine like terms: -18 + 138 = 120 30v = 120 Divide each side by '30'. v = 4 Simplifying v = 4
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