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Simplifying -20v + -11 = 3(-8v + 18) + 11 Reorder the terms: -11 + -20v = 3(-8v + 18) + 11 Reorder the terms: -11 + -20v = 3(18 + -8v) + 11 -11 + -20v = (18 * 3 + -8v * 3) + 11 -11 + -20v = (54 + -24v) + 11 Reorder the terms: -11 + -20v = 54 + 11 + -24v Combine like terms: 54 + 11 = 65 -11 + -20v = 65 + -24v Solving -11 + -20v = 65 + -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. -11 + -20v + 24v = 65 + -24v + 24v Combine like terms: -20v + 24v = 4v -11 + 4v = 65 + -24v + 24v Combine like terms: -24v + 24v = 0 -11 + 4v = 65 + 0 -11 + 4v = 65 Add '11' to each side of the equation. -11 + 11 + 4v = 65 + 11 Combine like terms: -11 + 11 = 0 0 + 4v = 65 + 11 4v = 65 + 11 Combine like terms: 65 + 11 = 76 4v = 76 Divide each side by '4'. v = 19 Simplifying v = 19
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