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Simplifying -5(v + 3) + 2v + 7 = 5v + 9 Reorder the terms: -5(3 + v) + 2v + 7 = 5v + 9 (3 * -5 + v * -5) + 2v + 7 = 5v + 9 (-15 + -5v) + 2v + 7 = 5v + 9 Reorder the terms: -15 + 7 + -5v + 2v = 5v + 9 Combine like terms: -15 + 7 = -8 -8 + -5v + 2v = 5v + 9 Combine like terms: -5v + 2v = -3v -8 + -3v = 5v + 9 Reorder the terms: -8 + -3v = 9 + 5v Solving -8 + -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. -8 + -3v + -5v = 9 + 5v + -5v Combine like terms: -3v + -5v = -8v -8 + -8v = 9 + 5v + -5v Combine like terms: 5v + -5v = 0 -8 + -8v = 9 + 0 -8 + -8v = 9 Add '8' to each side of the equation. -8 + 8 + -8v = 9 + 8 Combine like terms: -8 + 8 = 0 0 + -8v = 9 + 8 -8v = 9 + 8 Combine like terms: 9 + 8 = 17 -8v = 17 Divide each side by '-8'. v = -2.125 Simplifying v = -2.125
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