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Simplifying -31 + v = -7 + -8(8v + 3) Reorder the terms: -31 + v = -7 + -8(3 + 8v) -31 + v = -7 + (3 * -8 + 8v * -8) -31 + v = -7 + (-24 + -64v) Combine like terms: -7 + -24 = -31 -31 + v = -31 + -64v Add '31' to each side of the equation. -31 + 31 + v = -31 + 31 + -64v Combine like terms: -31 + 31 = 0 0 + v = -31 + 31 + -64v v = -31 + 31 + -64v Combine like terms: -31 + 31 = 0 v = 0 + -64v v = -64v Solving v = -64v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '64v' to each side of the equation. v + 64v = -64v + 64v Combine like terms: v + 64v = 65v 65v = -64v + 64v Combine like terms: -64v + 64v = 0 65v = 0 Divide each side by '65'. v = 0 Simplifying v = 0
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