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Simplifying 8v + -40 = -8(v + 1) Reorder the terms: -40 + 8v = -8(v + 1) Reorder the terms: -40 + 8v = -8(1 + v) -40 + 8v = (1 * -8 + v * -8) -40 + 8v = (-8 + -8v) Solving -40 + 8v = -8 + -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. -40 + 8v + 8v = -8 + -8v + 8v Combine like terms: 8v + 8v = 16v -40 + 16v = -8 + -8v + 8v Combine like terms: -8v + 8v = 0 -40 + 16v = -8 + 0 -40 + 16v = -8 Add '40' to each side of the equation. -40 + 40 + 16v = -8 + 40 Combine like terms: -40 + 40 = 0 0 + 16v = -8 + 40 16v = -8 + 40 Combine like terms: -8 + 40 = 32 16v = 32 Divide each side by '16'. v = 2 Simplifying v = 2
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