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Simplifying 5v + -25 = -8(v + 8) Reorder the terms: -25 + 5v = -8(v + 8) Reorder the terms: -25 + 5v = -8(8 + v) -25 + 5v = (8 * -8 + v * -8) -25 + 5v = (-64 + -8v) Solving -25 + 5v = -64 + -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. -25 + 5v + 8v = -64 + -8v + 8v Combine like terms: 5v + 8v = 13v -25 + 13v = -64 + -8v + 8v Combine like terms: -8v + 8v = 0 -25 + 13v = -64 + 0 -25 + 13v = -64 Add '25' to each side of the equation. -25 + 25 + 13v = -64 + 25 Combine like terms: -25 + 25 = 0 0 + 13v = -64 + 25 13v = -64 + 25 Combine like terms: -64 + 25 = -39 13v = -39 Divide each side by '13'. v = -3 Simplifying v = -3
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