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Simplifying 8v + -40 = 8(4 + 4v) Reorder the terms: -40 + 8v = 8(4 + 4v) -40 + 8v = (4 * 8 + 4v * 8) -40 + 8v = (32 + 32v) Solving -40 + 8v = 32 + 32v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-32v' to each side of the equation. -40 + 8v + -32v = 32 + 32v + -32v Combine like terms: 8v + -32v = -24v -40 + -24v = 32 + 32v + -32v Combine like terms: 32v + -32v = 0 -40 + -24v = 32 + 0 -40 + -24v = 32 Add '40' to each side of the equation. -40 + 40 + -24v = 32 + 40 Combine like terms: -40 + 40 = 0 0 + -24v = 32 + 40 -24v = 32 + 40 Combine like terms: 32 + 40 = 72 -24v = 72 Divide each side by '-24'. v = -3 Simplifying v = -3
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