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Simplifying -5v + 49 = 7(v + -5) Reorder the terms: 49 + -5v = 7(v + -5) Reorder the terms: 49 + -5v = 7(-5 + v) 49 + -5v = (-5 * 7 + v * 7) 49 + -5v = (-35 + 7v) Solving 49 + -5v = -35 + 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. 49 + -5v + -7v = -35 + 7v + -7v Combine like terms: -5v + -7v = -12v 49 + -12v = -35 + 7v + -7v Combine like terms: 7v + -7v = 0 49 + -12v = -35 + 0 49 + -12v = -35 Add '-49' to each side of the equation. 49 + -49 + -12v = -35 + -49 Combine like terms: 49 + -49 = 0 0 + -12v = -35 + -49 -12v = -35 + -49 Combine like terms: -35 + -49 = -84 -12v = -84 Divide each side by '-12'. v = 7 Simplifying v = 7
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