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Simplifying -1(v + 7) + -8v = 23 + -4v Reorder the terms: -1(7 + v) + -8v = 23 + -4v (7 * -1 + v * -1) + -8v = 23 + -4v (-7 + -1v) + -8v = 23 + -4v Combine like terms: -1v + -8v = -9v -7 + -9v = 23 + -4v Solving -7 + -9v = 23 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -7 + -9v + 4v = 23 + -4v + 4v Combine like terms: -9v + 4v = -5v -7 + -5v = 23 + -4v + 4v Combine like terms: -4v + 4v = 0 -7 + -5v = 23 + 0 -7 + -5v = 23 Add '7' to each side of the equation. -7 + 7 + -5v = 23 + 7 Combine like terms: -7 + 7 = 0 0 + -5v = 23 + 7 -5v = 23 + 7 Combine like terms: 23 + 7 = 30 -5v = 30 Divide each side by '-5'. v = -6 Simplifying v = -6
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