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Simplifying n + -7 = 9 + 3n Reorder the terms: -7 + n = 9 + 3n Solving -7 + n = 9 + 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 + n + -3n = 9 + 3n + -3n Combine like terms: n + -3n = -2n -7 + -2n = 9 + 3n + -3n Combine like terms: 3n + -3n = 0 -7 + -2n = 9 + 0 -7 + -2n = 9 Add '7' to each side of the equation. -7 + 7 + -2n = 9 + 7 Combine like terms: -7 + 7 = 0 0 + -2n = 9 + 7 -2n = 9 + 7 Combine like terms: 9 + 7 = 16 -2n = 16 Divide each side by '-2'. n = -8 Simplifying n = -8
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