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Simplifying -76 = -7(8 + -2n) + -6(n + -2) -76 = (8 * -7 + -2n * -7) + -6(n + -2) -76 = (-56 + 14n) + -6(n + -2) Reorder the terms: -76 = -56 + 14n + -6(-2 + n) -76 = -56 + 14n + (-2 * -6 + n * -6) -76 = -56 + 14n + (12 + -6n) Reorder the terms: -76 = -56 + 12 + 14n + -6n Combine like terms: -56 + 12 = -44 -76 = -44 + 14n + -6n Combine like terms: 14n + -6n = 8n -76 = -44 + 8n Solving -76 = -44 + 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. -76 + -8n = -44 + 8n + -8n Combine like terms: 8n + -8n = 0 -76 + -8n = -44 + 0 -76 + -8n = -44 Add '76' to each side of the equation. -76 + 76 + -8n = -44 + 76 Combine like terms: -76 + 76 = 0 0 + -8n = -44 + 76 -8n = -44 + 76 Combine like terms: -44 + 76 = 32 -8n = 32 Divide each side by '-8'. n = -4 Simplifying n = -4
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