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Simplifying 2(10 + 8v) = -12 + -8(1 + -3v) (10 * 2 + 8v * 2) = -12 + -8(1 + -3v) (20 + 16v) = -12 + -8(1 + -3v) 20 + 16v = -12 + (1 * -8 + -3v * -8) 20 + 16v = -12 + (-8 + 24v) Combine like terms: -12 + -8 = -20 20 + 16v = -20 + 24v Solving 20 + 16v = -20 + 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. 20 + 16v + -24v = -20 + 24v + -24v Combine like terms: 16v + -24v = -8v 20 + -8v = -20 + 24v + -24v Combine like terms: 24v + -24v = 0 20 + -8v = -20 + 0 20 + -8v = -20 Add '-20' to each side of the equation. 20 + -20 + -8v = -20 + -20 Combine like terms: 20 + -20 = 0 0 + -8v = -20 + -20 -8v = -20 + -20 Combine like terms: -20 + -20 = -40 -8v = -40 Divide each side by '-8'. v = 5 Simplifying v = 5
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