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Simplifying 3v + -9 + 4(2v + 4) = -5(v + 1) Reorder the terms: 3v + -9 + 4(4 + 2v) = -5(v + 1) 3v + -9 + (4 * 4 + 2v * 4) = -5(v + 1) 3v + -9 + (16 + 8v) = -5(v + 1) Reorder the terms: -9 + 16 + 3v + 8v = -5(v + 1) Combine like terms: -9 + 16 = 7 7 + 3v + 8v = -5(v + 1) Combine like terms: 3v + 8v = 11v 7 + 11v = -5(v + 1) Reorder the terms: 7 + 11v = -5(1 + v) 7 + 11v = (1 * -5 + v * -5) 7 + 11v = (-5 + -5v) Solving 7 + 11v = -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. 7 + 11v + 5v = -5 + -5v + 5v Combine like terms: 11v + 5v = 16v 7 + 16v = -5 + -5v + 5v Combine like terms: -5v + 5v = 0 7 + 16v = -5 + 0 7 + 16v = -5 Add '-7' to each side of the equation. 7 + -7 + 16v = -5 + -7 Combine like terms: 7 + -7 = 0 0 + 16v = -5 + -7 16v = -5 + -7 Combine like terms: -5 + -7 = -12 16v = -12 Divide each side by '16'. v = -0.75 Simplifying v = -0.75
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