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Simplifying n + 6 = 3n + 5 + 3 + -10 Reorder the terms: 6 + n = 3n + 5 + 3 + -10 Reorder the terms: 6 + n = 5 + 3 + -10 + 3n Combine like terms: 5 + 3 = 8 6 + n = 8 + -10 + 3n Combine like terms: 8 + -10 = -2 6 + n = -2 + 3n Solving 6 + n = -2 + 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. 6 + n + -3n = -2 + 3n + -3n Combine like terms: n + -3n = -2n 6 + -2n = -2 + 3n + -3n Combine like terms: 3n + -3n = 0 6 + -2n = -2 + 0 6 + -2n = -2 Add '-6' to each side of the equation. 6 + -6 + -2n = -2 + -6 Combine like terms: 6 + -6 = 0 0 + -2n = -2 + -6 -2n = -2 + -6 Combine like terms: -2 + -6 = -8 -2n = -8 Divide each side by '-2'. n = 4 Simplifying n = 4
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