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Simplifying -9 = -3v + 8(v + -3) Reorder the terms: -9 = -3v + 8(-3 + v) -9 = -3v + (-3 * 8 + v * 8) -9 = -3v + (-24 + 8v) Reorder the terms: -9 = -24 + -3v + 8v Combine like terms: -3v + 8v = 5v -9 = -24 + 5v Solving -9 = -24 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -9 + -5v = -24 + 5v + -5v Combine like terms: 5v + -5v = 0 -9 + -5v = -24 + 0 -9 + -5v = -24 Add '9' to each side of the equation. -9 + 9 + -5v = -24 + 9 Combine like terms: -9 + 9 = 0 0 + -5v = -24 + 9 -5v = -24 + 9 Combine like terms: -24 + 9 = -15 -5v = -15 Divide each side by '-5'. v = 3 Simplifying v = 3
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