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Simplifying n + 6n + 10 = 4n + -2 Reorder the terms: 10 + n + 6n = 4n + -2 Combine like terms: n + 6n = 7n 10 + 7n = 4n + -2 Reorder the terms: 10 + 7n = -2 + 4n Solving 10 + 7n = -2 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 10 + 7n + -4n = -2 + 4n + -4n Combine like terms: 7n + -4n = 3n 10 + 3n = -2 + 4n + -4n Combine like terms: 4n + -4n = 0 10 + 3n = -2 + 0 10 + 3n = -2 Add '-10' to each side of the equation. 10 + -10 + 3n = -2 + -10 Combine like terms: 10 + -10 = 0 0 + 3n = -2 + -10 3n = -2 + -10 Combine like terms: -2 + -10 = -12 3n = -12 Divide each side by '3'. n = -4 Simplifying n = -4
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