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Simplifying -8(n + -7) = 6 + -7n Reorder the terms: -8(-7 + n) = 6 + -7n (-7 * -8 + n * -8) = 6 + -7n (56 + -8n) = 6 + -7n Solving 56 + -8n = 6 + -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. 56 + -8n + 7n = 6 + -7n + 7n Combine like terms: -8n + 7n = -1n 56 + -1n = 6 + -7n + 7n Combine like terms: -7n + 7n = 0 56 + -1n = 6 + 0 56 + -1n = 6 Add '-56' to each side of the equation. 56 + -56 + -1n = 6 + -56 Combine like terms: 56 + -56 = 0 0 + -1n = 6 + -56 -1n = 6 + -56 Combine like terms: 6 + -56 = -50 -1n = -50 Divide each side by '-1'. n = 50 Simplifying n = 50
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