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Simplifying n + 7 + -6n = -6(n + -8) + -6(n + -6) Reorder the terms: 7 + n + -6n = -6(n + -8) + -6(n + -6) Combine like terms: n + -6n = -5n 7 + -5n = -6(n + -8) + -6(n + -6) Reorder the terms: 7 + -5n = -6(-8 + n) + -6(n + -6) 7 + -5n = (-8 * -6 + n * -6) + -6(n + -6) 7 + -5n = (48 + -6n) + -6(n + -6) Reorder the terms: 7 + -5n = 48 + -6n + -6(-6 + n) 7 + -5n = 48 + -6n + (-6 * -6 + n * -6) 7 + -5n = 48 + -6n + (36 + -6n) Reorder the terms: 7 + -5n = 48 + 36 + -6n + -6n Combine like terms: 48 + 36 = 84 7 + -5n = 84 + -6n + -6n Combine like terms: -6n + -6n = -12n 7 + -5n = 84 + -12n Solving 7 + -5n = 84 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. 7 + -5n + 12n = 84 + -12n + 12n Combine like terms: -5n + 12n = 7n 7 + 7n = 84 + -12n + 12n Combine like terms: -12n + 12n = 0 7 + 7n = 84 + 0 7 + 7n = 84 Add '-7' to each side of the equation. 7 + -7 + 7n = 84 + -7 Combine like terms: 7 + -7 = 0 0 + 7n = 84 + -7 7n = 84 + -7 Combine like terms: 84 + -7 = 77 7n = 77 Divide each side by '7'. n = 11 Simplifying n = 11
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