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Simplifying (1 + -5v + 3x)(-9) = 0 Reorder the terms for easier multiplication: -9(1 + -5v + 3x) = 0 (1 * -9 + -5v * -9 + 3x * -9) = 0 (-9 + 45v + -27x) = 0 Solving -9 + 45v + -27x = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 45v + 9 + -27x = 0 + 9 Reorder the terms: -9 + 9 + 45v + -27x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 45v + -27x = 0 + 9 45v + -27x = 0 + 9 Combine like terms: 0 + 9 = 9 45v + -27x = 9 Add '27x' to each side of the equation. 45v + -27x + 27x = 9 + 27x Combine like terms: -27x + 27x = 0 45v + 0 = 9 + 27x 45v = 9 + 27x Divide each side by '45'. v = 0.2 + 0.6x Simplifying v = 0.2 + 0.6x
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