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Simplifying -5v + 21 = 2(v + -7) Reorder the terms: 21 + -5v = 2(v + -7) Reorder the terms: 21 + -5v = 2(-7 + v) 21 + -5v = (-7 * 2 + v * 2) 21 + -5v = (-14 + 2v) Solving 21 + -5v = -14 + 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 + -5v + -2v = -14 + 2v + -2v Combine like terms: -5v + -2v = -7v 21 + -7v = -14 + 2v + -2v Combine like terms: 2v + -2v = 0 21 + -7v = -14 + 0 21 + -7v = -14 Add '-21' to each side of the equation. 21 + -21 + -7v = -14 + -21 Combine like terms: 21 + -21 = 0 0 + -7v = -14 + -21 -7v = -14 + -21 Combine like terms: -14 + -21 = -35 -7v = -35 Divide each side by '-7'. v = 5 Simplifying v = 5
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