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Simplifying 5n = n + -6(11 + -1n) 5n = n + (11 * -6 + -1n * -6) 5n = n + (-66 + 6n) Reorder the terms: 5n = -66 + n + 6n Combine like terms: n + 6n = 7n 5n = -66 + 7n Solving 5n = -66 + 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. 5n + -7n = -66 + 7n + -7n Combine like terms: 5n + -7n = -2n -2n = -66 + 7n + -7n Combine like terms: 7n + -7n = 0 -2n = -66 + 0 -2n = -66 Divide each side by '-2'. n = 33 Simplifying n = 33
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