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Simplifying -5v + -30 = 2v + -9 Reorder the terms: -30 + -5v = 2v + -9 Reorder the terms: -30 + -5v = -9 + 2v Solving -30 + -5v = -9 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -30 + -5v + -2v = -9 + 2v + -2v Combine like terms: -5v + -2v = -7v -30 + -7v = -9 + 2v + -2v Combine like terms: 2v + -2v = 0 -30 + -7v = -9 + 0 -30 + -7v = -9 Add '30' to each side of the equation. -30 + 30 + -7v = -9 + 30 Combine like terms: -30 + 30 = 0 0 + -7v = -9 + 30 -7v = -9 + 30 Combine like terms: -9 + 30 = 21 -7v = 21 Divide each side by '-7'. v = -3 Simplifying v = -3
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