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Simplifying 5n + -12 = 3 + -1n + 4 Reorder the terms: -12 + 5n = 3 + -1n + 4 Reorder the terms: -12 + 5n = 3 + 4 + -1n Combine like terms: 3 + 4 = 7 -12 + 5n = 7 + -1n Solving -12 + 5n = 7 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -12 + 5n + n = 7 + -1n + n Combine like terms: 5n + n = 6n -12 + 6n = 7 + -1n + n Combine like terms: -1n + n = 0 -12 + 6n = 7 + 0 -12 + 6n = 7 Add '12' to each side of the equation. -12 + 12 + 6n = 7 + 12 Combine like terms: -12 + 12 = 0 0 + 6n = 7 + 12 6n = 7 + 12 Combine like terms: 7 + 12 = 19 6n = 19 Divide each side by '6'. n = 3.166666667 Simplifying n = 3.166666667
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