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Simplifying -40 + -8v = -8(2v + 3) Reorder the terms: -40 + -8v = -8(3 + 2v) -40 + -8v = (3 * -8 + 2v * -8) -40 + -8v = (-24 + -16v) Solving -40 + -8v = -24 + -16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '16v' to each side of the equation. -40 + -8v + 16v = -24 + -16v + 16v Combine like terms: -8v + 16v = 8v -40 + 8v = -24 + -16v + 16v Combine like terms: -16v + 16v = 0 -40 + 8v = -24 + 0 -40 + 8v = -24 Add '40' to each side of the equation. -40 + 40 + 8v = -24 + 40 Combine like terms: -40 + 40 = 0 0 + 8v = -24 + 40 8v = -24 + 40 Combine like terms: -24 + 40 = 16 8v = 16 Divide each side by '8'. v = 2 Simplifying v = 2
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