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Simplifying 5(v + 8) = -9v + -30 Reorder the terms: 5(8 + v) = -9v + -30 (8 * 5 + v * 5) = -9v + -30 (40 + 5v) = -9v + -30 Reorder the terms: 40 + 5v = -30 + -9v Solving 40 + 5v = -30 + -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. 40 + 5v + 9v = -30 + -9v + 9v Combine like terms: 5v + 9v = 14v 40 + 14v = -30 + -9v + 9v Combine like terms: -9v + 9v = 0 40 + 14v = -30 + 0 40 + 14v = -30 Add '-40' to each side of the equation. 40 + -40 + 14v = -30 + -40 Combine like terms: 40 + -40 = 0 0 + 14v = -30 + -40 14v = -30 + -40 Combine like terms: -30 + -40 = -70 14v = -70 Divide each side by '14'. v = -5 Simplifying v = -5
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