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Simplifying -4(18v + -8) = 2(-16 + -4v) Reorder the terms: -4(-8 + 18v) = 2(-16 + -4v) (-8 * -4 + 18v * -4) = 2(-16 + -4v) (32 + -72v) = 2(-16 + -4v) 32 + -72v = (-16 * 2 + -4v * 2) 32 + -72v = (-32 + -8v) Solving 32 + -72v = -32 + -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. 32 + -72v + 8v = -32 + -8v + 8v Combine like terms: -72v + 8v = -64v 32 + -64v = -32 + -8v + 8v Combine like terms: -8v + 8v = 0 32 + -64v = -32 + 0 32 + -64v = -32 Add '-32' to each side of the equation. 32 + -32 + -64v = -32 + -32 Combine like terms: 32 + -32 = 0 0 + -64v = -32 + -32 -64v = -32 + -32 Combine like terms: -32 + -32 = -64 -64v = -64 Divide each side by '-64'. v = 1 Simplifying v = 1
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