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Simplifying -6(v + 3) + 2v + 5 = 5v + 8 Reorder the terms: -6(3 + v) + 2v + 5 = 5v + 8 (3 * -6 + v * -6) + 2v + 5 = 5v + 8 (-18 + -6v) + 2v + 5 = 5v + 8 Reorder the terms: -18 + 5 + -6v + 2v = 5v + 8 Combine like terms: -18 + 5 = -13 -13 + -6v + 2v = 5v + 8 Combine like terms: -6v + 2v = -4v -13 + -4v = 5v + 8 Reorder the terms: -13 + -4v = 8 + 5v Solving -13 + -4v = 8 + 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. -13 + -4v + -5v = 8 + 5v + -5v Combine like terms: -4v + -5v = -9v -13 + -9v = 8 + 5v + -5v Combine like terms: 5v + -5v = 0 -13 + -9v = 8 + 0 -13 + -9v = 8 Add '13' to each side of the equation. -13 + 13 + -9v = 8 + 13 Combine like terms: -13 + 13 = 0 0 + -9v = 8 + 13 -9v = 8 + 13 Combine like terms: 8 + 13 = 21 -9v = 21 Divide each side by '-9'. v = -2.333333333 Simplifying v = -2.333333333
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