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Simplifying 6 = -7(n + -7) + -8 Reorder the terms: 6 = -7(-7 + n) + -8 6 = (-7 * -7 + n * -7) + -8 6 = (49 + -7n) + -8 Reorder the terms: 6 = 49 + -8 + -7n Combine like terms: 49 + -8 = 41 6 = 41 + -7n Solving 6 = 41 + -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. 6 + 7n = 41 + -7n + 7n Combine like terms: -7n + 7n = 0 6 + 7n = 41 + 0 6 + 7n = 41 Add '-6' to each side of the equation. 6 + -6 + 7n = 41 + -6 Combine like terms: 6 + -6 = 0 0 + 7n = 41 + -6 7n = 41 + -6 Combine like terms: 41 + -6 = 35 7n = 35 Divide each side by '7'. n = 5 Simplifying n = 5
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