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Simplifying -20 = -2v + 7(v + -5) Reorder the terms: -20 = -2v + 7(-5 + v) -20 = -2v + (-5 * 7 + v * 7) -20 = -2v + (-35 + 7v) Reorder the terms: -20 = -35 + -2v + 7v Combine like terms: -2v + 7v = 5v -20 = -35 + 5v Solving -20 = -35 + 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. -20 + -5v = -35 + 5v + -5v Combine like terms: 5v + -5v = 0 -20 + -5v = -35 + 0 -20 + -5v = -35 Add '20' to each side of the equation. -20 + 20 + -5v = -35 + 20 Combine like terms: -20 + 20 = 0 0 + -5v = -35 + 20 -5v = -35 + 20 Combine like terms: -35 + 20 = -15 -5v = -15 Divide each side by '-5'. v = 3 Simplifying v = 3
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