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Simplifying -9(3x + -1v + -5) = 0 Reorder the terms: -9(-5 + -1v + 3x) = 0 (-5 * -9 + -1v * -9 + 3x * -9) = 0 (45 + 9v + -27x) = 0 Solving 45 + 9v + -27x = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + 9v + -45 + -27x = 0 + -45 Reorder the terms: 45 + -45 + 9v + -27x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 9v + -27x = 0 + -45 9v + -27x = 0 + -45 Combine like terms: 0 + -45 = -45 9v + -27x = -45 Add '27x' to each side of the equation. 9v + -27x + 27x = -45 + 27x Combine like terms: -27x + 27x = 0 9v + 0 = -45 + 27x 9v = -45 + 27x Divide each side by '9'. v = -5 + 3x Simplifying v = -5 + 3x
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