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Simplifying -7(v + 4) + 4v + 5 = 8v + 8 Reorder the terms: -7(4 + v) + 4v + 5 = 8v + 8 (4 * -7 + v * -7) + 4v + 5 = 8v + 8 (-28 + -7v) + 4v + 5 = 8v + 8 Reorder the terms: -28 + 5 + -7v + 4v = 8v + 8 Combine like terms: -28 + 5 = -23 -23 + -7v + 4v = 8v + 8 Combine like terms: -7v + 4v = -3v -23 + -3v = 8v + 8 Reorder the terms: -23 + -3v = 8 + 8v Solving -23 + -3v = 8 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -23 + -3v + -8v = 8 + 8v + -8v Combine like terms: -3v + -8v = -11v -23 + -11v = 8 + 8v + -8v Combine like terms: 8v + -8v = 0 -23 + -11v = 8 + 0 -23 + -11v = 8 Add '23' to each side of the equation. -23 + 23 + -11v = 8 + 23 Combine like terms: -23 + 23 = 0 0 + -11v = 8 + 23 -11v = 8 + 23 Combine like terms: 8 + 23 = 31 -11v = 31 Divide each side by '-11'. v = -2.818181818 Simplifying v = -2.818181818
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