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Simplifying -5v + 21 = 7(v + -9) Reorder the terms: 21 + -5v = 7(v + -9) Reorder the terms: 21 + -5v = 7(-9 + v) 21 + -5v = (-9 * 7 + v * 7) 21 + -5v = (-63 + 7v) Solving 21 + -5v = -63 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 21 + -5v + -7v = -63 + 7v + -7v Combine like terms: -5v + -7v = -12v 21 + -12v = -63 + 7v + -7v Combine like terms: 7v + -7v = 0 21 + -12v = -63 + 0 21 + -12v = -63 Add '-21' to each side of the equation. 21 + -21 + -12v = -63 + -21 Combine like terms: 21 + -21 = 0 0 + -12v = -63 + -21 -12v = -63 + -21 Combine like terms: -63 + -21 = -84 -12v = -84 Divide each side by '-12'. v = 7 Simplifying v = 7
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