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Simplifying -8 + 8(v + -4) = 2v + 8 Reorder the terms: -8 + 8(-4 + v) = 2v + 8 -8 + (-4 * 8 + v * 8) = 2v + 8 -8 + (-32 + 8v) = 2v + 8 Combine like terms: -8 + -32 = -40 -40 + 8v = 2v + 8 Reorder the terms: -40 + 8v = 8 + 2v Solving -40 + 8v = 8 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -40 + 8v + -2v = 8 + 2v + -2v Combine like terms: 8v + -2v = 6v -40 + 6v = 8 + 2v + -2v Combine like terms: 2v + -2v = 0 -40 + 6v = 8 + 0 -40 + 6v = 8 Add '40' to each side of the equation. -40 + 40 + 6v = 8 + 40 Combine like terms: -40 + 40 = 0 0 + 6v = 8 + 40 6v = 8 + 40 Combine like terms: 8 + 40 = 48 6v = 48 Divide each side by '6'. v = 8 Simplifying v = 8
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