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Simplifying (5 + -3x + 2v)(-9) = 0 Reorder the terms: (5 + 2v + -3x)(-9) = 0 Reorder the terms for easier multiplication: -9(5 + 2v + -3x) = 0 (5 * -9 + 2v * -9 + -3x * -9) = 0 (-45 + -18v + 27x) = 0 Solving -45 + -18v + 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 + -18v + 45 + 27x = 0 + 45 Reorder the terms: -45 + 45 + -18v + 27x = 0 + 45 Combine like terms: -45 + 45 = 0 0 + -18v + 27x = 0 + 45 -18v + 27x = 0 + 45 Combine like terms: 0 + 45 = 45 -18v + 27x = 45 Add '-27x' to each side of the equation. -18v + 27x + -27x = 45 + -27x Combine like terms: 27x + -27x = 0 -18v + 0 = 45 + -27x -18v = 45 + -27x Divide each side by '-18'. v = -2.5 + 1.5x Simplifying v = -2.5 + 1.5x
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