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Simplifying -8(n + -7) = -12(3 + -7n) Reorder the terms: -8(-7 + n) = -12(3 + -7n) (-7 * -8 + n * -8) = -12(3 + -7n) (56 + -8n) = -12(3 + -7n) 56 + -8n = (3 * -12 + -7n * -12) 56 + -8n = (-36 + 84n) Solving 56 + -8n = -36 + 84n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-84n' to each side of the equation. 56 + -8n + -84n = -36 + 84n + -84n Combine like terms: -8n + -84n = -92n 56 + -92n = -36 + 84n + -84n Combine like terms: 84n + -84n = 0 56 + -92n = -36 + 0 56 + -92n = -36 Add '-56' to each side of the equation. 56 + -56 + -92n = -36 + -56 Combine like terms: 56 + -56 = 0 0 + -92n = -36 + -56 -92n = -36 + -56 Combine like terms: -36 + -56 = -92 -92n = -92 Divide each side by '-92'. n = 1 Simplifying n = 1
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