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Simplifying -5v + -40 = -8(v + 2) Reorder the terms: -40 + -5v = -8(v + 2) Reorder the terms: -40 + -5v = -8(2 + v) -40 + -5v = (2 * -8 + v * -8) -40 + -5v = (-16 + -8v) Solving -40 + -5v = -16 + -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 + -5v + 8v = -16 + -8v + 8v Combine like terms: -5v + 8v = 3v -40 + 3v = -16 + -8v + 8v Combine like terms: -8v + 8v = 0 -40 + 3v = -16 + 0 -40 + 3v = -16 Add '40' to each side of the equation. -40 + 40 + 3v = -16 + 40 Combine like terms: -40 + 40 = 0 0 + 3v = -16 + 40 3v = -16 + 40 Combine like terms: -16 + 40 = 24 3v = 24 Divide each side by '3'. v = 8 Simplifying v = 8
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