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Simplifying [8 + v] * 4 + -8v = 8 Reorder the terms for easier multiplication: 4[8 + v] + -8v = 8 [8 * 4 + v * 4] + -8v = 8 [32 + 4v] + -8v = 8 Combine like terms: 4v + -8v = -4v 32 + -4v = 8 Solving 32 + -4v = 8 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -4v = 8 + -32 Combine like terms: 32 + -32 = 0 0 + -4v = 8 + -32 -4v = 8 + -32 Combine like terms: 8 + -32 = -24 -4v = -24 Divide each side by '-4'. v = 6 Simplifying v = 6
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