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Simplifying -4(v + 8) = 5v + -23 Reorder the terms: -4(8 + v) = 5v + -23 (8 * -4 + v * -4) = 5v + -23 (-32 + -4v) = 5v + -23 Reorder the terms: -32 + -4v = -23 + 5v Solving -32 + -4v = -23 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -32 + -4v + -5v = -23 + 5v + -5v Combine like terms: -4v + -5v = -9v -32 + -9v = -23 + 5v + -5v Combine like terms: 5v + -5v = 0 -32 + -9v = -23 + 0 -32 + -9v = -23 Add '32' to each side of the equation. -32 + 32 + -9v = -23 + 32 Combine like terms: -32 + 32 = 0 0 + -9v = -23 + 32 -9v = -23 + 32 Combine like terms: -23 + 32 = 9 -9v = 9 Divide each side by '-9'. v = -1 Simplifying v = -1
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