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Simplifying 8 = 8x + -4(v + 8) Reorder the terms: 8 = 8x + -4(8 + v) 8 = 8x + (8 * -4 + v * -4) 8 = 8x + (-32 + -4v) Reorder the terms: 8 = -32 + -4v + 8x Solving 8 = -32 + -4v + 8x Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 8 + 4v = -32 + -4v + 4v + 8x Combine like terms: -4v + 4v = 0 8 + 4v = -32 + 0 + 8x 8 + 4v = -32 + 8x Add '-8' to each side of the equation. 8 + -8 + 4v = -32 + -8 + 8x Combine like terms: 8 + -8 = 0 0 + 4v = -32 + -8 + 8x 4v = -32 + -8 + 8x Combine like terms: -32 + -8 = -40 4v = -40 + 8x Divide each side by '4'. v = -10 + 2x Simplifying v = -10 + 2x
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