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Simplifying 7(v + 8) = 4v + 1 Reorder the terms: 7(8 + v) = 4v + 1 (8 * 7 + v * 7) = 4v + 1 (56 + 7v) = 4v + 1 Reorder the terms: 56 + 7v = 1 + 4v Solving 56 + 7v = 1 + 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. 56 + 7v + -4v = 1 + 4v + -4v Combine like terms: 7v + -4v = 3v 56 + 3v = 1 + 4v + -4v Combine like terms: 4v + -4v = 0 56 + 3v = 1 + 0 56 + 3v = 1 Add '-56' to each side of the equation. 56 + -56 + 3v = 1 + -56 Combine like terms: 56 + -56 = 0 0 + 3v = 1 + -56 3v = 1 + -56 Combine like terms: 1 + -56 = -55 3v = -55 Divide each side by '3'. v = -18.33333333 Simplifying v = -18.33333333
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