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Simplifying 8(4v + 4) = 4(5 + 7V) Reorder the terms: 8(4 + 4v) = 4(5 + 7V) (4 * 8 + 4v * 8) = 4(5 + 7V) (32 + 32v) = 4(5 + 7V) 32 + 32v = (5 * 4 + 7V * 4) 32 + 32v = (20 + 28V) Solving 32 + 32v = 20 + 28V Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 32v = 20 + -32 + 28V Combine like terms: 32 + -32 = 0 0 + 32v = 20 + -32 + 28V 32v = 20 + -32 + 28V Combine like terms: 20 + -32 = -12 32v = -12 + 28V Divide each side by '32'. v = -0.375 + 0.875V Simplifying v = -0.375 + 0.875V
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