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Simplifying 5n + -12 = 75 + -4n Reorder the terms: -12 + 5n = 75 + -4n Solving -12 + 5n = 75 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -12 + 5n + 4n = 75 + -4n + 4n Combine like terms: 5n + 4n = 9n -12 + 9n = 75 + -4n + 4n Combine like terms: -4n + 4n = 0 -12 + 9n = 75 + 0 -12 + 9n = 75 Add '12' to each side of the equation. -12 + 12 + 9n = 75 + 12 Combine like terms: -12 + 12 = 0 0 + 9n = 75 + 12 9n = 75 + 12 Combine like terms: 75 + 12 = 87 9n = 87 Divide each side by '9'. n = 9.666666667 Simplifying n = 9.666666667
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