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Simplifying -30 + 5n = 8(4n + -9) Reorder the terms: -30 + 5n = 8(-9 + 4n) -30 + 5n = (-9 * 8 + 4n * 8) -30 + 5n = (-72 + 32n) Solving -30 + 5n = -72 + 32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32n' to each side of the equation. -30 + 5n + -32n = -72 + 32n + -32n Combine like terms: 5n + -32n = -27n -30 + -27n = -72 + 32n + -32n Combine like terms: 32n + -32n = 0 -30 + -27n = -72 + 0 -30 + -27n = -72 Add '30' to each side of the equation. -30 + 30 + -27n = -72 + 30 Combine like terms: -30 + 30 = 0 0 + -27n = -72 + 30 -27n = -72 + 30 Combine like terms: -72 + 30 = -42 -27n = -42 Divide each side by '-27'. n = 1.555555556 Simplifying n = 1.555555556
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