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Simplifying -7 + -4v = -4(v + 8) + 5v Reorder the terms: -7 + -4v = -4(8 + v) + 5v -7 + -4v = (8 * -4 + v * -4) + 5v -7 + -4v = (-32 + -4v) + 5v Combine like terms: -4v + 5v = 1v -7 + -4v = -32 + 1v Solving -7 + -4v = -32 + 1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. -7 + -4v + -1v = -32 + 1v + -1v Combine like terms: -4v + -1v = -5v -7 + -5v = -32 + 1v + -1v Combine like terms: 1v + -1v = 0 -7 + -5v = -32 + 0 -7 + -5v = -32 Add '7' to each side of the equation. -7 + 7 + -5v = -32 + 7 Combine like terms: -7 + 7 = 0 0 + -5v = -32 + 7 -5v = -32 + 7 Combine like terms: -32 + 7 = -25 -5v = -25 Divide each side by '-5'. v = 5 Simplifying v = 5
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