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Simplifying -5(v + 4) + 3v + 5 = 7v + 9 Reorder the terms: -5(4 + v) + 3v + 5 = 7v + 9 (4 * -5 + v * -5) + 3v + 5 = 7v + 9 (-20 + -5v) + 3v + 5 = 7v + 9 Reorder the terms: -20 + 5 + -5v + 3v = 7v + 9 Combine like terms: -20 + 5 = -15 -15 + -5v + 3v = 7v + 9 Combine like terms: -5v + 3v = -2v -15 + -2v = 7v + 9 Reorder the terms: -15 + -2v = 9 + 7v Solving -15 + -2v = 9 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -15 + -2v + -7v = 9 + 7v + -7v Combine like terms: -2v + -7v = -9v -15 + -9v = 9 + 7v + -7v Combine like terms: 7v + -7v = 0 -15 + -9v = 9 + 0 -15 + -9v = 9 Add '15' to each side of the equation. -15 + 15 + -9v = 9 + 15 Combine like terms: -15 + 15 = 0 0 + -9v = 9 + 15 -9v = 9 + 15 Combine like terms: 9 + 15 = 24 -9v = 24 Divide each side by '-9'. v = -2.666666667 Simplifying v = -2.666666667
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