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Simplifying -7(v + 4) + 4v + 5 = 5v + 11 Reorder the terms: -7(4 + v) + 4v + 5 = 5v + 11 (4 * -7 + v * -7) + 4v + 5 = 5v + 11 (-28 + -7v) + 4v + 5 = 5v + 11 Reorder the terms: -28 + 5 + -7v + 4v = 5v + 11 Combine like terms: -28 + 5 = -23 -23 + -7v + 4v = 5v + 11 Combine like terms: -7v + 4v = -3v -23 + -3v = 5v + 11 Reorder the terms: -23 + -3v = 11 + 5v Solving -23 + -3v = 11 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -23 + -3v + -5v = 11 + 5v + -5v Combine like terms: -3v + -5v = -8v -23 + -8v = 11 + 5v + -5v Combine like terms: 5v + -5v = 0 -23 + -8v = 11 + 0 -23 + -8v = 11 Add '23' to each side of the equation. -23 + 23 + -8v = 11 + 23 Combine like terms: -23 + 23 = 0 0 + -8v = 11 + 23 -8v = 11 + 23 Combine like terms: 11 + 23 = 34 -8v = 34 Divide each side by '-8'. v = -4.25 Simplifying v = -4.25
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