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Simplifying 21 = 2(v + -7) + -7v Reorder the terms: 21 = 2(-7 + v) + -7v 21 = (-7 * 2 + v * 2) + -7v 21 = (-14 + 2v) + -7v Combine like terms: 2v + -7v = -5v 21 = -14 + -5v Solving 21 = -14 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 21 + 5v = -14 + -5v + 5v Combine like terms: -5v + 5v = 0 21 + 5v = -14 + 0 21 + 5v = -14 Add '-21' to each side of the equation. 21 + -21 + 5v = -14 + -21 Combine like terms: 21 + -21 = 0 0 + 5v = -14 + -21 5v = -14 + -21 Combine like terms: -14 + -21 = -35 5v = -35 Divide each side by '5'. v = -7 Simplifying v = -7
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