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Simplifying 4(1 + -8V) = 11 + 7(3 + -4V) (1 * 4 + -8V * 4) = 11 + 7(3 + -4V) (4 + -32V) = 11 + 7(3 + -4V) 4 + -32V = 11 + (3 * 7 + -4V * 7) 4 + -32V = 11 + (21 + -28V) Combine like terms: 11 + 21 = 32 4 + -32V = 32 + -28V Solving 4 + -32V = 32 + -28V Solving for variable 'V'. Move all terms containing V to the left, all other terms to the right. Add '28V' to each side of the equation. 4 + -32V + 28V = 32 + -28V + 28V Combine like terms: -32V + 28V = -4V 4 + -4V = 32 + -28V + 28V Combine like terms: -28V + 28V = 0 4 + -4V = 32 + 0 4 + -4V = 32 Add '-4' to each side of the equation. 4 + -4 + -4V = 32 + -4 Combine like terms: 4 + -4 = 0 0 + -4V = 32 + -4 -4V = 32 + -4 Combine like terms: 32 + -4 = 28 -4V = 28 Divide each side by '-4'. V = -7 Simplifying V = -7
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