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Simplifying 5(v + -2) = -8v + -23 Reorder the terms: 5(-2 + v) = -8v + -23 (-2 * 5 + v * 5) = -8v + -23 (-10 + 5v) = -8v + -23 Reorder the terms: -10 + 5v = -23 + -8v Solving -10 + 5v = -23 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. -10 + 5v + 8v = -23 + -8v + 8v Combine like terms: 5v + 8v = 13v -10 + 13v = -23 + -8v + 8v Combine like terms: -8v + 8v = 0 -10 + 13v = -23 + 0 -10 + 13v = -23 Add '10' to each side of the equation. -10 + 10 + 13v = -23 + 10 Combine like terms: -10 + 10 = 0 0 + 13v = -23 + 10 13v = -23 + 10 Combine like terms: -23 + 10 = -13 13v = -13 Divide each side by '13'. v = -1 Simplifying v = -1
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