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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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