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Simplifying 29 + 8v = -6 + 3(1 + 8v) 29 + 8v = -6 + (1 * 3 + 8v * 3) 29 + 8v = -6 + (3 + 24v) Combine like terms: -6 + 3 = -3 29 + 8v = -3 + 24v Solving 29 + 8v = -3 + 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. 29 + 8v + -24v = -3 + 24v + -24v Combine like terms: 8v + -24v = -16v 29 + -16v = -3 + 24v + -24v Combine like terms: 24v + -24v = 0 29 + -16v = -3 + 0 29 + -16v = -3 Add '-29' to each side of the equation. 29 + -29 + -16v = -3 + -29 Combine like terms: 29 + -29 = 0 0 + -16v = -3 + -29 -16v = -3 + -29 Combine like terms: -3 + -29 = -32 -16v = -32 Divide each side by '-16'. v = 2 Simplifying v = 2
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