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Simplifying -5(v + 4) + 2v + 7 = 6v + 10 Reorder the terms: -5(4 + v) + 2v + 7 = 6v + 10 (4 * -5 + v * -5) + 2v + 7 = 6v + 10 (-20 + -5v) + 2v + 7 = 6v + 10 Reorder the terms: -20 + 7 + -5v + 2v = 6v + 10 Combine like terms: -20 + 7 = -13 -13 + -5v + 2v = 6v + 10 Combine like terms: -5v + 2v = -3v -13 + -3v = 6v + 10 Reorder the terms: -13 + -3v = 10 + 6v Solving -13 + -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. -13 + -3v + -6v = 10 + 6v + -6v Combine like terms: -3v + -6v = -9v -13 + -9v = 10 + 6v + -6v Combine like terms: 6v + -6v = 0 -13 + -9v = 10 + 0 -13 + -9v = 10 Add '13' to each side of the equation. -13 + 13 + -9v = 10 + 13 Combine like terms: -13 + 13 = 0 0 + -9v = 10 + 13 -9v = 10 + 13 Combine like terms: 10 + 13 = 23 -9v = 23 Divide each side by '-9'. v = -2.555555556 Simplifying v = -2.555555556
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