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Simplifying -56 = -8(n + 7) + 2(n + 6) Reorder the terms: -56 = -8(7 + n) + 2(n + 6) -56 = (7 * -8 + n * -8) + 2(n + 6) -56 = (-56 + -8n) + 2(n + 6) Reorder the terms: -56 = -56 + -8n + 2(6 + n) -56 = -56 + -8n + (6 * 2 + n * 2) -56 = -56 + -8n + (12 + 2n) Reorder the terms: -56 = -56 + 12 + -8n + 2n Combine like terms: -56 + 12 = -44 -56 = -44 + -8n + 2n Combine like terms: -8n + 2n = -6n -56 = -44 + -6n Solving -56 = -44 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -56 + 6n = -44 + -6n + 6n Combine like terms: -6n + 6n = 0 -56 + 6n = -44 + 0 -56 + 6n = -44 Add '56' to each side of the equation. -56 + 56 + 6n = -44 + 56 Combine like terms: -56 + 56 = 0 0 + 6n = -44 + 56 6n = -44 + 56 Combine like terms: -44 + 56 = 12 6n = 12 Divide each side by '6'. n = 2 Simplifying n = 2
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