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Simplifying 8(V + 4) + -4v = 2(2V + 4) + -9 Reorder the terms: 8(4 + V) + -4v = 2(2V + 4) + -9 (4 * 8 + V * 8) + -4v = 2(2V + 4) + -9 (32 + 8V) + -4v = 2(2V + 4) + -9 Reorder the terms: 32 + 8V + -4v = 2(4 + 2V) + -9 32 + 8V + -4v = (4 * 2 + 2V * 2) + -9 32 + 8V + -4v = (8 + 4V) + -9 Reorder the terms: 32 + 8V + -4v = 8 + -9 + 4V Combine like terms: 8 + -9 = -1 32 + 8V + -4v = -1 + 4V Solving 32 + 8V + -4v = -1 + 4V Solving for variable 'V'. Move all terms containing V to the left, all other terms to the right. Add '-4V' to each side of the equation. 32 + 8V + -4V + -4v = -1 + 4V + -4V Combine like terms: 8V + -4V = 4V 32 + 4V + -4v = -1 + 4V + -4V Combine like terms: 4V + -4V = 0 32 + 4V + -4v = -1 + 0 32 + 4V + -4v = -1 Add '-32' to each side of the equation. 32 + 4V + -32 + -4v = -1 + -32 Reorder the terms: 32 + -32 + 4V + -4v = -1 + -32 Combine like terms: 32 + -32 = 0 0 + 4V + -4v = -1 + -32 4V + -4v = -1 + -32 Combine like terms: -1 + -32 = -33 4V + -4v = -33 Add '4v' to each side of the equation. 4V + -4v + 4v = -33 + 4v Combine like terms: -4v + 4v = 0 4V + 0 = -33 + 4v 4V = -33 + 4v Divide each side by '4'. V = -8.25 + v Simplifying V = -8.25 + v
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