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Simplifying 8v + -40 = -8(v + -3) Reorder the terms: -40 + 8v = -8(v + -3) Reorder the terms: -40 + 8v = -8(-3 + v) -40 + 8v = (-3 * -8 + v * -8) -40 + 8v = (24 + -8v) Solving -40 + 8v = 24 + -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 = 24 + -8v + 8v Combine like terms: 8v + 8v = 16v -40 + 16v = 24 + -8v + 8v Combine like terms: -8v + 8v = 0 -40 + 16v = 24 + 0 -40 + 16v = 24 Add '40' to each side of the equation. -40 + 40 + 16v = 24 + 40 Combine like terms: -40 + 40 = 0 0 + 16v = 24 + 40 16v = 24 + 40 Combine like terms: 24 + 40 = 64 16v = 64 Divide each side by '16'. v = 4 Simplifying v = 4
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