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Simplifying 2v + 42 = -3(v + -9) Reorder the terms: 42 + 2v = -3(v + -9) Reorder the terms: 42 + 2v = -3(-9 + v) 42 + 2v = (-9 * -3 + v * -3) 42 + 2v = (27 + -3v) Solving 42 + 2v = 27 + -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. 42 + 2v + 3v = 27 + -3v + 3v Combine like terms: 2v + 3v = 5v 42 + 5v = 27 + -3v + 3v Combine like terms: -3v + 3v = 0 42 + 5v = 27 + 0 42 + 5v = 27 Add '-42' to each side of the equation. 42 + -42 + 5v = 27 + -42 Combine like terms: 42 + -42 = 0 0 + 5v = 27 + -42 5v = 27 + -42 Combine like terms: 27 + -42 = -15 5v = -15 Divide each side by '5'. v = -3 Simplifying v = -3
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