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Simplifying -5(v + 3) + 3v + 5 = 6v + 9 Reorder the terms: -5(3 + v) + 3v + 5 = 6v + 9 (3 * -5 + v * -5) + 3v + 5 = 6v + 9 (-15 + -5v) + 3v + 5 = 6v + 9 Reorder the terms: -15 + 5 + -5v + 3v = 6v + 9 Combine like terms: -15 + 5 = -10 -10 + -5v + 3v = 6v + 9 Combine like terms: -5v + 3v = -2v -10 + -2v = 6v + 9 Reorder the terms: -10 + -2v = 9 + 6v Solving -10 + -2v = 9 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -10 + -2v + -6v = 9 + 6v + -6v Combine like terms: -2v + -6v = -8v -10 + -8v = 9 + 6v + -6v Combine like terms: 6v + -6v = 0 -10 + -8v = 9 + 0 -10 + -8v = 9 Add '10' to each side of the equation. -10 + 10 + -8v = 9 + 10 Combine like terms: -10 + 10 = 0 0 + -8v = 9 + 10 -8v = 9 + 10 Combine like terms: 9 + 10 = 19 -8v = 19 Divide each side by '-8'. v = -2.375 Simplifying v = -2.375
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