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Simplifying 7v + 21 = 2(v + -2) Reorder the terms: 21 + 7v = 2(v + -2) Reorder the terms: 21 + 7v = 2(-2 + v) 21 + 7v = (-2 * 2 + v * 2) 21 + 7v = (-4 + 2v) Solving 21 + 7v = -4 + 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. 21 + 7v + -2v = -4 + 2v + -2v Combine like terms: 7v + -2v = 5v 21 + 5v = -4 + 2v + -2v Combine like terms: 2v + -2v = 0 21 + 5v = -4 + 0 21 + 5v = -4 Add '-21' to each side of the equation. 21 + -21 + 5v = -4 + -21 Combine like terms: 21 + -21 = 0 0 + 5v = -4 + -21 5v = -4 + -21 Combine like terms: -4 + -21 = -25 5v = -25 Divide each side by '5'. v = -5 Simplifying v = -5
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