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Simplifying n + 5 = (-7) + -6n + 4n Reorder the terms: 5 + n = (-7) + -6n + 4n 5 + n = -7 + -6n + 4n Combine like terms: -6n + 4n = -2n 5 + n = -7 + -2n Solving 5 + n = -7 + -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 = -7 + -2n + 2n Combine like terms: n + 2n = 3n 5 + 3n = -7 + -2n + 2n Combine like terms: -2n + 2n = 0 5 + 3n = -7 + 0 5 + 3n = -7 Add '-5' to each side of the equation. 5 + -5 + 3n = -7 + -5 Combine like terms: 5 + -5 = 0 0 + 3n = -7 + -5 3n = -7 + -5 Combine like terms: -7 + -5 = -12 3n = -12 Divide each side by '3'. n = -4 Simplifying n = -4
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