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Simplifying -6(v + 3) + 3v + 5 = 6v + 6 Reorder the terms: -6(3 + v) + 3v + 5 = 6v + 6 (3 * -6 + v * -6) + 3v + 5 = 6v + 6 (-18 + -6v) + 3v + 5 = 6v + 6 Reorder the terms: -18 + 5 + -6v + 3v = 6v + 6 Combine like terms: -18 + 5 = -13 -13 + -6v + 3v = 6v + 6 Combine like terms: -6v + 3v = -3v -13 + -3v = 6v + 6 Reorder the terms: -13 + -3v = 6 + 6v Solving -13 + -3v = 6 + 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. -13 + -3v + -6v = 6 + 6v + -6v Combine like terms: -3v + -6v = -9v -13 + -9v = 6 + 6v + -6v Combine like terms: 6v + -6v = 0 -13 + -9v = 6 + 0 -13 + -9v = 6 Add '13' to each side of the equation. -13 + 13 + -9v = 6 + 13 Combine like terms: -13 + 13 = 0 0 + -9v = 6 + 13 -9v = 6 + 13 Combine like terms: 6 + 13 = 19 -9v = 19 Divide each side by '-9'. v = -2.111111111 Simplifying v = -2.111111111
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