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Simplifying -8(1 + -5v) = 8(4v + 4) (1 * -8 + -5v * -8) = 8(4v + 4) (-8 + 40v) = 8(4v + 4) Reorder the terms: -8 + 40v = 8(4 + 4v) -8 + 40v = (4 * 8 + 4v * 8) -8 + 40v = (32 + 32v) Solving -8 + 40v = 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. -8 + 40v + -32v = 32 + 32v + -32v Combine like terms: 40v + -32v = 8v -8 + 8v = 32 + 32v + -32v Combine like terms: 32v + -32v = 0 -8 + 8v = 32 + 0 -8 + 8v = 32 Add '8' to each side of the equation. -8 + 8 + 8v = 32 + 8 Combine like terms: -8 + 8 = 0 0 + 8v = 32 + 8 8v = 32 + 8 Combine like terms: 32 + 8 = 40 8v = 40 Divide each side by '8'. v = 5 Simplifying v = 5
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