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Simplifying -138 = 6(5v + -7) + -6v Reorder the terms: -138 = 6(-7 + 5v) + -6v -138 = (-7 * 6 + 5v * 6) + -6v -138 = (-42 + 30v) + -6v Combine like terms: 30v + -6v = 24v -138 = -42 + 24v Solving -138 = -42 + 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 = -42 + 24v + -24v Combine like terms: 24v + -24v = 0 -138 + -24v = -42 + 0 -138 + -24v = -42 Add '138' to each side of the equation. -138 + 138 + -24v = -42 + 138 Combine like terms: -138 + 138 = 0 0 + -24v = -42 + 138 -24v = -42 + 138 Combine like terms: -42 + 138 = 96 -24v = 96 Divide each side by '-24'. v = -4 Simplifying v = -4
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