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Simplifying -8(-1v + 8) = 8(-3v + 8) Reorder the terms: -8(8 + -1v) = 8(-3v + 8) (8 * -8 + -1v * -8) = 8(-3v + 8) (-64 + 8v) = 8(-3v + 8) Reorder the terms: -64 + 8v = 8(8 + -3v) -64 + 8v = (8 * 8 + -3v * 8) -64 + 8v = (64 + -24v) Solving -64 + 8v = 64 + -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. -64 + 8v + 24v = 64 + -24v + 24v Combine like terms: 8v + 24v = 32v -64 + 32v = 64 + -24v + 24v Combine like terms: -24v + 24v = 0 -64 + 32v = 64 + 0 -64 + 32v = 64 Add '64' to each side of the equation. -64 + 64 + 32v = 64 + 64 Combine like terms: -64 + 64 = 0 0 + 32v = 64 + 64 32v = 64 + 64 Combine like terms: 64 + 64 = 128 32v = 128 Divide each side by '32'. v = 4 Simplifying v = 4
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