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Simplifying 3(9n + 5) + 8(10n + -9) = y Reorder the terms: 3(5 + 9n) + 8(10n + -9) = y (5 * 3 + 9n * 3) + 8(10n + -9) = y (15 + 27n) + 8(10n + -9) = y Reorder the terms: 15 + 27n + 8(-9 + 10n) = y 15 + 27n + (-9 * 8 + 10n * 8) = y 15 + 27n + (-72 + 80n) = y Reorder the terms: 15 + -72 + 27n + 80n = y Combine like terms: 15 + -72 = -57 -57 + 27n + 80n = y Combine like terms: 27n + 80n = 107n -57 + 107n = y Solving -57 + 107n = y Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '57' to each side of the equation. -57 + 57 + 107n = 57 + y Combine like terms: -57 + 57 = 0 0 + 107n = 57 + y 107n = 57 + y Divide each side by '107'. n = 0.5327102804 + 0.009345794393y Simplifying n = 0.5327102804 + 0.009345794393y
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