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Simplifying 5v + -23 = -3(v + -3) Reorder the terms: -23 + 5v = -3(v + -3) Reorder the terms: -23 + 5v = -3(-3 + v) -23 + 5v = (-3 * -3 + v * -3) -23 + 5v = (9 + -3v) Solving -23 + 5v = 9 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. -23 + 5v + 3v = 9 + -3v + 3v Combine like terms: 5v + 3v = 8v -23 + 8v = 9 + -3v + 3v Combine like terms: -3v + 3v = 0 -23 + 8v = 9 + 0 -23 + 8v = 9 Add '23' to each side of the equation. -23 + 23 + 8v = 9 + 23 Combine like terms: -23 + 23 = 0 0 + 8v = 9 + 23 8v = 9 + 23 Combine like terms: 9 + 23 = 32 8v = 32 Divide each side by '8'. v = 4 Simplifying v = 4
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