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Simplifying 3v + 8(3v + -8) = 2(-4v + 3) Reorder the terms: 3v + 8(-8 + 3v) = 2(-4v + 3) 3v + (-8 * 8 + 3v * 8) = 2(-4v + 3) 3v + (-64 + 24v) = 2(-4v + 3) Reorder the terms: -64 + 3v + 24v = 2(-4v + 3) Combine like terms: 3v + 24v = 27v -64 + 27v = 2(-4v + 3) Reorder the terms: -64 + 27v = 2(3 + -4v) -64 + 27v = (3 * 2 + -4v * 2) -64 + 27v = (6 + -8v) Solving -64 + 27v = 6 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. -64 + 27v + 8v = 6 + -8v + 8v Combine like terms: 27v + 8v = 35v -64 + 35v = 6 + -8v + 8v Combine like terms: -8v + 8v = 0 -64 + 35v = 6 + 0 -64 + 35v = 6 Add '64' to each side of the equation. -64 + 64 + 35v = 6 + 64 Combine like terms: -64 + 64 = 0 0 + 35v = 6 + 64 35v = 6 + 64 Combine like terms: 6 + 64 = 70 35v = 70 Divide each side by '35'. v = 2 Simplifying v = 2
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