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Simplifying 5n + -12 = 3n + 7 Reorder the terms: -12 + 5n = 3n + 7 Reorder the terms: -12 + 5n = 7 + 3n Solving -12 + 5n = 7 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -12 + 5n + -3n = 7 + 3n + -3n Combine like terms: 5n + -3n = 2n -12 + 2n = 7 + 3n + -3n Combine like terms: 3n + -3n = 0 -12 + 2n = 7 + 0 -12 + 2n = 7 Add '12' to each side of the equation. -12 + 12 + 2n = 7 + 12 Combine like terms: -12 + 12 = 0 0 + 2n = 7 + 12 2n = 7 + 12 Combine like terms: 7 + 12 = 19 2n = 19 Divide each side by '2'. n = 9.5 Simplifying n = 9.5
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