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Simplifying -7(n + -7) + 8 = 6(-2 + -5n) Reorder the terms: -7(-7 + n) + 8 = 6(-2 + -5n) (-7 * -7 + n * -7) + 8 = 6(-2 + -5n) (49 + -7n) + 8 = 6(-2 + -5n) Reorder the terms: 49 + 8 + -7n = 6(-2 + -5n) Combine like terms: 49 + 8 = 57 57 + -7n = 6(-2 + -5n) 57 + -7n = (-2 * 6 + -5n * 6) 57 + -7n = (-12 + -30n) Solving 57 + -7n = -12 + -30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '30n' to each side of the equation. 57 + -7n + 30n = -12 + -30n + 30n Combine like terms: -7n + 30n = 23n 57 + 23n = -12 + -30n + 30n Combine like terms: -30n + 30n = 0 57 + 23n = -12 + 0 57 + 23n = -12 Add '-57' to each side of the equation. 57 + -57 + 23n = -12 + -57 Combine like terms: 57 + -57 = 0 0 + 23n = -12 + -57 23n = -12 + -57 Combine like terms: -12 + -57 = -69 23n = -69 Divide each side by '23'. n = -3 Simplifying n = -3
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