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Simplifying -7(3 + -7n) + 7n = 8(n + -3) + 3 (3 * -7 + -7n * -7) + 7n = 8(n + -3) + 3 (-21 + 49n) + 7n = 8(n + -3) + 3 Combine like terms: 49n + 7n = 56n -21 + 56n = 8(n + -3) + 3 Reorder the terms: -21 + 56n = 8(-3 + n) + 3 -21 + 56n = (-3 * 8 + n * 8) + 3 -21 + 56n = (-24 + 8n) + 3 Reorder the terms: -21 + 56n = -24 + 3 + 8n Combine like terms: -24 + 3 = -21 -21 + 56n = -21 + 8n Add '21' to each side of the equation. -21 + 21 + 56n = -21 + 21 + 8n Combine like terms: -21 + 21 = 0 0 + 56n = -21 + 21 + 8n 56n = -21 + 21 + 8n Combine like terms: -21 + 21 = 0 56n = 0 + 8n 56n = 8n Solving 56n = 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 56n + -8n = 8n + -8n Combine like terms: 56n + -8n = 48n 48n = 8n + -8n Combine like terms: 8n + -8n = 0 48n = 0 Divide each side by '48'. n = 0 Simplifying n = 0
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