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Simplifying 3(1 + v) = -5(v + 9) (1 * 3 + v * 3) = -5(v + 9) (3 + 3v) = -5(v + 9) Reorder the terms: 3 + 3v = -5(9 + v) 3 + 3v = (9 * -5 + v * -5) 3 + 3v = (-45 + -5v) Solving 3 + 3v = -45 + -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. 3 + 3v + 5v = -45 + -5v + 5v Combine like terms: 3v + 5v = 8v 3 + 8v = -45 + -5v + 5v Combine like terms: -5v + 5v = 0 3 + 8v = -45 + 0 3 + 8v = -45 Add '-3' to each side of the equation. 3 + -3 + 8v = -45 + -3 Combine like terms: 3 + -3 = 0 0 + 8v = -45 + -3 8v = -45 + -3 Combine like terms: -45 + -3 = -48 8v = -48 Divide each side by '8'. v = -6 Simplifying v = -6
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