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Simplifying -6(v + 4) + 3v + 5 = 6v + 10 Reorder the terms: -6(4 + v) + 3v + 5 = 6v + 10 (4 * -6 + v * -6) + 3v + 5 = 6v + 10 (-24 + -6v) + 3v + 5 = 6v + 10 Reorder the terms: -24 + 5 + -6v + 3v = 6v + 10 Combine like terms: -24 + 5 = -19 -19 + -6v + 3v = 6v + 10 Combine like terms: -6v + 3v = -3v -19 + -3v = 6v + 10 Reorder the terms: -19 + -3v = 10 + 6v Solving -19 + -3v = 10 + 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. -19 + -3v + -6v = 10 + 6v + -6v Combine like terms: -3v + -6v = -9v -19 + -9v = 10 + 6v + -6v Combine like terms: 6v + -6v = 0 -19 + -9v = 10 + 0 -19 + -9v = 10 Add '19' to each side of the equation. -19 + 19 + -9v = 10 + 19 Combine like terms: -19 + 19 = 0 0 + -9v = 10 + 19 -9v = 10 + 19 Combine like terms: 10 + 19 = 29 -9v = 29 Divide each side by '-9'. v = -3.222222222 Simplifying v = -3.222222222
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