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Simplifying -4(v + 1) = 5v + -5 + 3(3v + 5) Reorder the terms: -4(1 + v) = 5v + -5 + 3(3v + 5) (1 * -4 + v * -4) = 5v + -5 + 3(3v + 5) (-4 + -4v) = 5v + -5 + 3(3v + 5) Reorder the terms: -4 + -4v = 5v + -5 + 3(5 + 3v) -4 + -4v = 5v + -5 + (5 * 3 + 3v * 3) -4 + -4v = 5v + -5 + (15 + 9v) Reorder the terms: -4 + -4v = -5 + 15 + 5v + 9v Combine like terms: -5 + 15 = 10 -4 + -4v = 10 + 5v + 9v Combine like terms: 5v + 9v = 14v -4 + -4v = 10 + 14v Solving -4 + -4v = 10 + 14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-14v' to each side of the equation. -4 + -4v + -14v = 10 + 14v + -14v Combine like terms: -4v + -14v = -18v -4 + -18v = 10 + 14v + -14v Combine like terms: 14v + -14v = 0 -4 + -18v = 10 + 0 -4 + -18v = 10 Add '4' to each side of the equation. -4 + 4 + -18v = 10 + 4 Combine like terms: -4 + 4 = 0 0 + -18v = 10 + 4 -18v = 10 + 4 Combine like terms: 10 + 4 = 14 -18v = 14 Divide each side by '-18'. v = -0.7777777778 Simplifying v = -0.7777777778
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