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Simplifying 7v + -4(2 + 8v) = -108 7v + (2 * -4 + 8v * -4) = -108 7v + (-8 + -32v) = -108 Reorder the terms: -8 + 7v + -32v = -108 Combine like terms: 7v + -32v = -25v -8 + -25v = -108 Solving -8 + -25v = -108 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -25v = -108 + 8 Combine like terms: -8 + 8 = 0 0 + -25v = -108 + 8 -25v = -108 + 8 Combine like terms: -108 + 8 = -100 -25v = -100 Divide each side by '-25'. v = 4 Simplifying v = 4
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