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Simplifying v + -3 + 4(2v + 4) = -5(v + 1) Reorder the terms: v + -3 + 4(4 + 2v) = -5(v + 1) v + -3 + (4 * 4 + 2v * 4) = -5(v + 1) v + -3 + (16 + 8v) = -5(v + 1) Reorder the terms: -3 + 16 + v + 8v = -5(v + 1) Combine like terms: -3 + 16 = 13 13 + v + 8v = -5(v + 1) Combine like terms: v + 8v = 9v 13 + 9v = -5(v + 1) Reorder the terms: 13 + 9v = -5(1 + v) 13 + 9v = (1 * -5 + v * -5) 13 + 9v = (-5 + -5v) Solving 13 + 9v = -5 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 13 + 9v + 5v = -5 + -5v + 5v Combine like terms: 9v + 5v = 14v 13 + 14v = -5 + -5v + 5v Combine like terms: -5v + 5v = 0 13 + 14v = -5 + 0 13 + 14v = -5 Add '-13' to each side of the equation. 13 + -13 + 14v = -5 + -13 Combine like terms: 13 + -13 = 0 0 + 14v = -5 + -13 14v = -5 + -13 Combine like terms: -5 + -13 = -18 14v = -18 Divide each side by '14'. v = -1.285714286 Simplifying v = -1.285714286
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