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Simplifying -4(8v + 4) = 34 + -7v Reorder the terms: -4(4 + 8v) = 34 + -7v (4 * -4 + 8v * -4) = 34 + -7v (-16 + -32v) = 34 + -7v Solving -16 + -32v = 34 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. -16 + -32v + 7v = 34 + -7v + 7v Combine like terms: -32v + 7v = -25v -16 + -25v = 34 + -7v + 7v Combine like terms: -7v + 7v = 0 -16 + -25v = 34 + 0 -16 + -25v = 34 Add '16' to each side of the equation. -16 + 16 + -25v = 34 + 16 Combine like terms: -16 + 16 = 0 0 + -25v = 34 + 16 -25v = 34 + 16 Combine like terms: 34 + 16 = 50 -25v = 50 Divide each side by '-25'. v = -2 Simplifying v = -2
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