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Simplifying -18 + 15v = 16 + 8(3v + -20) Reorder the terms: -18 + 15v = 16 + 8(-20 + 3v) -18 + 15v = 16 + (-20 * 8 + 3v * 8) -18 + 15v = 16 + (-160 + 24v) Combine like terms: 16 + -160 = -144 -18 + 15v = -144 + 24v Solving -18 + 15v = -144 + 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 + 15v + -24v = -144 + 24v + -24v Combine like terms: 15v + -24v = -9v -18 + -9v = -144 + 24v + -24v Combine like terms: 24v + -24v = 0 -18 + -9v = -144 + 0 -18 + -9v = -144 Add '18' to each side of the equation. -18 + 18 + -9v = -144 + 18 Combine like terms: -18 + 18 = 0 0 + -9v = -144 + 18 -9v = -144 + 18 Combine like terms: -144 + 18 = -126 -9v = -126 Divide each side by '-9'. v = 14 Simplifying v = 14
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