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Simplifying 5(v + 7) = -7v + 23 Reorder the terms: 5(7 + v) = -7v + 23 (7 * 5 + v * 5) = -7v + 23 (35 + 5v) = -7v + 23 Reorder the terms: 35 + 5v = 23 + -7v Solving 35 + 5v = 23 + -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. 35 + 5v + 7v = 23 + -7v + 7v Combine like terms: 5v + 7v = 12v 35 + 12v = 23 + -7v + 7v Combine like terms: -7v + 7v = 0 35 + 12v = 23 + 0 35 + 12v = 23 Add '-35' to each side of the equation. 35 + -35 + 12v = 23 + -35 Combine like terms: 35 + -35 = 0 0 + 12v = 23 + -35 12v = 23 + -35 Combine like terms: 23 + -35 = -12 12v = -12 Divide each side by '12'. v = -1 Simplifying v = -1
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