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Simplifying -4v + 20 = 7(v + -5) Reorder the terms: 20 + -4v = 7(v + -5) Reorder the terms: 20 + -4v = 7(-5 + v) 20 + -4v = (-5 * 7 + v * 7) 20 + -4v = (-35 + 7v) Solving 20 + -4v = -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. 20 + -4v + -7v = -35 + 7v + -7v Combine like terms: -4v + -7v = -11v 20 + -11v = -35 + 7v + -7v Combine like terms: 7v + -7v = 0 20 + -11v = -35 + 0 20 + -11v = -35 Add '-20' to each side of the equation. 20 + -20 + -11v = -35 + -20 Combine like terms: 20 + -20 = 0 0 + -11v = -35 + -20 -11v = -35 + -20 Combine like terms: -35 + -20 = -55 -11v = -55 Divide each side by '-11'. v = 5 Simplifying v = 5
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