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Simplifying 5v + 23 = -2(v + -8) Reorder the terms: 23 + 5v = -2(v + -8) Reorder the terms: 23 + 5v = -2(-8 + v) 23 + 5v = (-8 * -2 + v * -2) 23 + 5v = (16 + -2v) Solving 23 + 5v = 16 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 23 + 5v + 2v = 16 + -2v + 2v Combine like terms: 5v + 2v = 7v 23 + 7v = 16 + -2v + 2v Combine like terms: -2v + 2v = 0 23 + 7v = 16 + 0 23 + 7v = 16 Add '-23' to each side of the equation. 23 + -23 + 7v = 16 + -23 Combine like terms: 23 + -23 = 0 0 + 7v = 16 + -23 7v = 16 + -23 Combine like terms: 16 + -23 = -7 7v = -7 Divide each side by '7'. v = -1 Simplifying v = -1
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