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Simplifying n + 5 = 12 + 3n + -1n Reorder the terms: 5 + n = 12 + 3n + -1n Combine like terms: 3n + -1n = 2n 5 + n = 12 + 2n Solving 5 + n = 12 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 5 + n + -2n = 12 + 2n + -2n Combine like terms: n + -2n = -1n 5 + -1n = 12 + 2n + -2n Combine like terms: 2n + -2n = 0 5 + -1n = 12 + 0 5 + -1n = 12 Add '-5' to each side of the equation. 5 + -5 + -1n = 12 + -5 Combine like terms: 5 + -5 = 0 0 + -1n = 12 + -5 -1n = 12 + -5 Combine like terms: 12 + -5 = 7 -1n = 7 Divide each side by '-1'. n = -7 Simplifying n = -7
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