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Simplifying 5 + 8(v + -1) = 25 + 4v Reorder the terms: 5 + 8(-1 + v) = 25 + 4v 5 + (-1 * 8 + v * 8) = 25 + 4v 5 + (-8 + 8v) = 25 + 4v Combine like terms: 5 + -8 = -3 -3 + 8v = 25 + 4v Solving -3 + 8v = 25 + 4v 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. -3 + 8v + -4v = 25 + 4v + -4v Combine like terms: 8v + -4v = 4v -3 + 4v = 25 + 4v + -4v Combine like terms: 4v + -4v = 0 -3 + 4v = 25 + 0 -3 + 4v = 25 Add '3' to each side of the equation. -3 + 3 + 4v = 25 + 3 Combine like terms: -3 + 3 = 0 0 + 4v = 25 + 3 4v = 25 + 3 Combine like terms: 25 + 3 = 28 4v = 28 Divide each side by '4'. v = 7 Simplifying v = 7
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