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Simplifying 4v + 19 = -3(v + 3) Reorder the terms: 19 + 4v = -3(v + 3) Reorder the terms: 19 + 4v = -3(3 + v) 19 + 4v = (3 * -3 + v * -3) 19 + 4v = (-9 + -3v) Solving 19 + 4v = -9 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 19 + 4v + 3v = -9 + -3v + 3v Combine like terms: 4v + 3v = 7v 19 + 7v = -9 + -3v + 3v Combine like terms: -3v + 3v = 0 19 + 7v = -9 + 0 19 + 7v = -9 Add '-19' to each side of the equation. 19 + -19 + 7v = -9 + -19 Combine like terms: 19 + -19 = 0 0 + 7v = -9 + -19 7v = -9 + -19 Combine like terms: -9 + -19 = -28 7v = -28 Divide each side by '7'. v = -4 Simplifying v = -4
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