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Simplifying 4v + 3 = -9(v + 4) Reorder the terms: 3 + 4v = -9(v + 4) Reorder the terms: 3 + 4v = -9(4 + v) 3 + 4v = (4 * -9 + v * -9) 3 + 4v = (-36 + -9v) Solving 3 + 4v = -36 + -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. 3 + 4v + 9v = -36 + -9v + 9v Combine like terms: 4v + 9v = 13v 3 + 13v = -36 + -9v + 9v Combine like terms: -9v + 9v = 0 3 + 13v = -36 + 0 3 + 13v = -36 Add '-3' to each side of the equation. 3 + -3 + 13v = -36 + -3 Combine like terms: 3 + -3 = 0 0 + 13v = -36 + -3 13v = -36 + -3 Combine like terms: -36 + -3 = -39 13v = -39 Divide each side by '13'. v = -3 Simplifying v = -3
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