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Simplifying 9(5n + -6) = -35 + 7n Reorder the terms: 9(-6 + 5n) = -35 + 7n (-6 * 9 + 5n * 9) = -35 + 7n (-54 + 45n) = -35 + 7n Solving -54 + 45n = -35 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -54 + 45n + -7n = -35 + 7n + -7n Combine like terms: 45n + -7n = 38n -54 + 38n = -35 + 7n + -7n Combine like terms: 7n + -7n = 0 -54 + 38n = -35 + 0 -54 + 38n = -35 Add '54' to each side of the equation. -54 + 54 + 38n = -35 + 54 Combine like terms: -54 + 54 = 0 0 + 38n = -35 + 54 38n = -35 + 54 Combine like terms: -35 + 54 = 19 38n = 19 Divide each side by '38'. n = 0.5 Simplifying n = 0.5
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