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Simplifying 7 = 5n + -5 + -2n Reorder the terms: 7 = -5 + 5n + -2n Combine like terms: 5n + -2n = 3n 7 = -5 + 3n Solving 7 = -5 + 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. 7 + -3n = -5 + 3n + -3n Combine like terms: 3n + -3n = 0 7 + -3n = -5 + 0 7 + -3n = -5 Add '-7' to each side of the equation. 7 + -7 + -3n = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -3n = -5 + -7 -3n = -5 + -7 Combine like terms: -5 + -7 = -12 -3n = -12 Divide each side by '-3'. n = 4 Simplifying n = 4
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