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Simplifying 5n + 6n + 48 = -6 + 2n Reorder the terms: 48 + 5n + 6n = -6 + 2n Combine like terms: 5n + 6n = 11n 48 + 11n = -6 + 2n Solving 48 + 11n = -6 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 48 + 11n + -2n = -6 + 2n + -2n Combine like terms: 11n + -2n = 9n 48 + 9n = -6 + 2n + -2n Combine like terms: 2n + -2n = 0 48 + 9n = -6 + 0 48 + 9n = -6 Add '-48' to each side of the equation. 48 + -48 + 9n = -6 + -48 Combine like terms: 48 + -48 = 0 0 + 9n = -6 + -48 9n = -6 + -48 Combine like terms: -6 + -48 = -54 9n = -54 Divide each side by '9'. n = -6 Simplifying n = -6
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