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Simplifying -7(-8 + -8n) + 6 = -36 + 7n (-8 * -7 + -8n * -7) + 6 = -36 + 7n (56 + 56n) + 6 = -36 + 7n Reorder the terms: 56 + 6 + 56n = -36 + 7n Combine like terms: 56 + 6 = 62 62 + 56n = -36 + 7n Solving 62 + 56n = -36 + 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. 62 + 56n + -7n = -36 + 7n + -7n Combine like terms: 56n + -7n = 49n 62 + 49n = -36 + 7n + -7n Combine like terms: 7n + -7n = 0 62 + 49n = -36 + 0 62 + 49n = -36 Add '-62' to each side of the equation. 62 + -62 + 49n = -36 + -62 Combine like terms: 62 + -62 = 0 0 + 49n = -36 + -62 49n = -36 + -62 Combine like terms: -36 + -62 = -98 49n = -98 Divide each side by '49'. n = -2 Simplifying n = -2
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