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Simplifying 2v + 30 = -3(v + -5) Reorder the terms: 30 + 2v = -3(v + -5) Reorder the terms: 30 + 2v = -3(-5 + v) 30 + 2v = (-5 * -3 + v * -3) 30 + 2v = (15 + -3v) Solving 30 + 2v = 15 + -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. 30 + 2v + 3v = 15 + -3v + 3v Combine like terms: 2v + 3v = 5v 30 + 5v = 15 + -3v + 3v Combine like terms: -3v + 3v = 0 30 + 5v = 15 + 0 30 + 5v = 15 Add '-30' to each side of the equation. 30 + -30 + 5v = 15 + -30 Combine like terms: 30 + -30 = 0 0 + 5v = 15 + -30 5v = 15 + -30 Combine like terms: 15 + -30 = -15 5v = -15 Divide each side by '5'. v = -3 Simplifying v = -3
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