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Simplifying 7(v + 5) = -4v + 46 Reorder the terms: 7(5 + v) = -4v + 46 (5 * 7 + v * 7) = -4v + 46 (35 + 7v) = -4v + 46 Reorder the terms: 35 + 7v = 46 + -4v Solving 35 + 7v = 46 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 35 + 7v + 4v = 46 + -4v + 4v Combine like terms: 7v + 4v = 11v 35 + 11v = 46 + -4v + 4v Combine like terms: -4v + 4v = 0 35 + 11v = 46 + 0 35 + 11v = 46 Add '-35' to each side of the equation. 35 + -35 + 11v = 46 + -35 Combine like terms: 35 + -35 = 0 0 + 11v = 46 + -35 11v = 46 + -35 Combine like terms: 46 + -35 = 11 11v = 11 Divide each side by '11'. v = 1 Simplifying v = 1
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