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Simplifying -5(v + 4) = 3v + -6 + 2(3v + 1) Reorder the terms: -5(4 + v) = 3v + -6 + 2(3v + 1) (4 * -5 + v * -5) = 3v + -6 + 2(3v + 1) (-20 + -5v) = 3v + -6 + 2(3v + 1) Reorder the terms: -20 + -5v = 3v + -6 + 2(1 + 3v) -20 + -5v = 3v + -6 + (1 * 2 + 3v * 2) -20 + -5v = 3v + -6 + (2 + 6v) Reorder the terms: -20 + -5v = -6 + 2 + 3v + 6v Combine like terms: -6 + 2 = -4 -20 + -5v = -4 + 3v + 6v Combine like terms: 3v + 6v = 9v -20 + -5v = -4 + 9v Solving -20 + -5v = -4 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. -20 + -5v + -9v = -4 + 9v + -9v Combine like terms: -5v + -9v = -14v -20 + -14v = -4 + 9v + -9v Combine like terms: 9v + -9v = 0 -20 + -14v = -4 + 0 -20 + -14v = -4 Add '20' to each side of the equation. -20 + 20 + -14v = -4 + 20 Combine like terms: -20 + 20 = 0 0 + -14v = -4 + 20 -14v = -4 + 20 Combine like terms: -4 + 20 = 16 -14v = 16 Divide each side by '-14'. v = -1.142857143 Simplifying v = -1.142857143
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