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Simplifying -7(v + 4) + 4v + 7 = 5v + 9 Reorder the terms: -7(4 + v) + 4v + 7 = 5v + 9 (4 * -7 + v * -7) + 4v + 7 = 5v + 9 (-28 + -7v) + 4v + 7 = 5v + 9 Reorder the terms: -28 + 7 + -7v + 4v = 5v + 9 Combine like terms: -28 + 7 = -21 -21 + -7v + 4v = 5v + 9 Combine like terms: -7v + 4v = -3v -21 + -3v = 5v + 9 Reorder the terms: -21 + -3v = 9 + 5v Solving -21 + -3v = 9 + 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. -21 + -3v + -5v = 9 + 5v + -5v Combine like terms: -3v + -5v = -8v -21 + -8v = 9 + 5v + -5v Combine like terms: 5v + -5v = 0 -21 + -8v = 9 + 0 -21 + -8v = 9 Add '21' to each side of the equation. -21 + 21 + -8v = 9 + 21 Combine like terms: -21 + 21 = 0 0 + -8v = 9 + 21 -8v = 9 + 21 Combine like terms: 9 + 21 = 30 -8v = 30 Divide each side by '-8'. v = -3.75 Simplifying v = -3.75
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