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Simplifying -9(V + 3) + 4V + 6 = 5V + 9 Reorder the terms: -9(3 + V) + 4V + 6 = 5V + 9 (3 * -9 + V * -9) + 4V + 6 = 5V + 9 (-27 + -9V) + 4V + 6 = 5V + 9 Reorder the terms: -27 + 6 + -9V + 4V = 5V + 9 Combine like terms: -27 + 6 = -21 -21 + -9V + 4V = 5V + 9 Combine like terms: -9V + 4V = -5V -21 + -5V = 5V + 9 Reorder the terms: -21 + -5V = 9 + 5V Solving -21 + -5V = 9 + 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. -21 + -5V + -5V = 9 + 5V + -5V Combine like terms: -5V + -5V = -10V -21 + -10V = 9 + 5V + -5V Combine like terms: 5V + -5V = 0 -21 + -10V = 9 + 0 -21 + -10V = 9 Add '21' to each side of the equation. -21 + 21 + -10V = 9 + 21 Combine like terms: -21 + 21 = 0 0 + -10V = 9 + 21 -10V = 9 + 21 Combine like terms: 9 + 21 = 30 -10V = 30 Divide each side by '-10'. V = -3 Simplifying V = -3
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