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Simplifying 8(v + 4) + -14V = 2(2V + 4) + -14 Reorder the terms: 8(4 + v) + -14V = 2(2V + 4) + -14 (4 * 8 + v * 8) + -14V = 2(2V + 4) + -14 (32 + 8v) + -14V = 2(2V + 4) + -14 Reorder the terms: 32 + -14V + 8v = 2(2V + 4) + -14 Reorder the terms: 32 + -14V + 8v = 2(4 + 2V) + -14 32 + -14V + 8v = (4 * 2 + 2V * 2) + -14 32 + -14V + 8v = (8 + 4V) + -14 Reorder the terms: 32 + -14V + 8v = 8 + -14 + 4V Combine like terms: 8 + -14 = -6 32 + -14V + 8v = -6 + 4V Solving 32 + -14V + 8v = -6 + 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 + -14V + -4V + 8v = -6 + 4V + -4V Combine like terms: -14V + -4V = -18V 32 + -18V + 8v = -6 + 4V + -4V Combine like terms: 4V + -4V = 0 32 + -18V + 8v = -6 + 0 32 + -18V + 8v = -6 Add '-32' to each side of the equation. 32 + -18V + -32 + 8v = -6 + -32 Reorder the terms: 32 + -32 + -18V + 8v = -6 + -32 Combine like terms: 32 + -32 = 0 0 + -18V + 8v = -6 + -32 -18V + 8v = -6 + -32 Combine like terms: -6 + -32 = -38 -18V + 8v = -38 Add '-8v' to each side of the equation. -18V + 8v + -8v = -38 + -8v Combine like terms: 8v + -8v = 0 -18V + 0 = -38 + -8v -18V = -38 + -8v Divide each side by '-18'. V = 2.111111111 + 0.4444444444v Simplifying V = 2.111111111 + 0.4444444444v
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