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Simplifying 1 + n = 5n + -2 + 7 Reorder the terms: 1 + n = -2 + 7 + 5n Combine like terms: -2 + 7 = 5 1 + n = 5 + 5n Solving 1 + n = 5 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 1 + n + -5n = 5 + 5n + -5n Combine like terms: n + -5n = -4n 1 + -4n = 5 + 5n + -5n Combine like terms: 5n + -5n = 0 1 + -4n = 5 + 0 1 + -4n = 5 Add '-1' to each side of the equation. 1 + -1 + -4n = 5 + -1 Combine like terms: 1 + -1 = 0 0 + -4n = 5 + -1 -4n = 5 + -1 Combine like terms: 5 + -1 = 4 -4n = 4 Divide each side by '-4'. n = -1 Simplifying n = -1
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