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Simplifying (n + 6) = (3n + -10) Reorder the terms: (6 + n) = (3n + -10) Remove parenthesis around (6 + n) 6 + n = (3n + -10) Reorder the terms: 6 + n = (-10 + 3n) Remove parenthesis around (-10 + 3n) 6 + n = -10 + 3n Solving 6 + n = -10 + 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 = -10 + 3n + -3n Combine like terms: n + -3n = -2n 6 + -2n = -10 + 3n + -3n Combine like terms: 3n + -3n = 0 6 + -2n = -10 + 0 6 + -2n = -10 Add '-6' to each side of the equation. 6 + -6 + -2n = -10 + -6 Combine like terms: 6 + -6 = 0 0 + -2n = -10 + -6 -2n = -10 + -6 Combine like terms: -10 + -6 = -16 -2n = -16 Divide each side by '-2'. n = 8 Simplifying n = 8
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