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Simplifying 5v + 23 = -4(v + 1) Reorder the terms: 23 + 5v = -4(v + 1) Reorder the terms: 23 + 5v = -4(1 + v) 23 + 5v = (1 * -4 + v * -4) 23 + 5v = (-4 + -4v) Solving 23 + 5v = -4 + -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. 23 + 5v + 4v = -4 + -4v + 4v Combine like terms: 5v + 4v = 9v 23 + 9v = -4 + -4v + 4v Combine like terms: -4v + 4v = 0 23 + 9v = -4 + 0 23 + 9v = -4 Add '-23' to each side of the equation. 23 + -23 + 9v = -4 + -23 Combine like terms: 23 + -23 = 0 0 + 9v = -4 + -23 9v = -4 + -23 Combine like terms: -4 + -23 = -27 9v = -27 Divide each side by '9'. v = -3 Simplifying v = -3
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