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Simplifying 1 + 6n + 4n = 7n + -11 Combine like terms: 6n + 4n = 10n 1 + 10n = 7n + -11 Reorder the terms: 1 + 10n = -11 + 7n Solving 1 + 10n = -11 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 1 + 10n + -7n = -11 + 7n + -7n Combine like terms: 10n + -7n = 3n 1 + 3n = -11 + 7n + -7n Combine like terms: 7n + -7n = 0 1 + 3n = -11 + 0 1 + 3n = -11 Add '-1' to each side of the equation. 1 + -1 + 3n = -11 + -1 Combine like terms: 1 + -1 = 0 0 + 3n = -11 + -1 3n = -11 + -1 Combine like terms: -11 + -1 = -12 3n = -12 Divide each side by '3'. n = -4 Simplifying n = -4
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