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Simplifying -3(6v + -3) + 5v = 3(v + 5) Reorder the terms: -3(-3 + 6v) + 5v = 3(v + 5) (-3 * -3 + 6v * -3) + 5v = 3(v + 5) (9 + -18v) + 5v = 3(v + 5) Combine like terms: -18v + 5v = -13v 9 + -13v = 3(v + 5) Reorder the terms: 9 + -13v = 3(5 + v) 9 + -13v = (5 * 3 + v * 3) 9 + -13v = (15 + 3v) Solving 9 + -13v = 15 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 9 + -13v + -3v = 15 + 3v + -3v Combine like terms: -13v + -3v = -16v 9 + -16v = 15 + 3v + -3v Combine like terms: 3v + -3v = 0 9 + -16v = 15 + 0 9 + -16v = 15 Add '-9' to each side of the equation. 9 + -9 + -16v = 15 + -9 Combine like terms: 9 + -9 = 0 0 + -16v = 15 + -9 -16v = 15 + -9 Combine like terms: 15 + -9 = 6 -16v = 6 Divide each side by '-16'. v = -0.375 Simplifying v = -0.375
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