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Simplifying 7(n + -7) = -4 + -8n Reorder the terms: 7(-7 + n) = -4 + -8n (-7 * 7 + n * 7) = -4 + -8n (-49 + 7n) = -4 + -8n Solving -49 + 7n = -4 + -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. -49 + 7n + 8n = -4 + -8n + 8n Combine like terms: 7n + 8n = 15n -49 + 15n = -4 + -8n + 8n Combine like terms: -8n + 8n = 0 -49 + 15n = -4 + 0 -49 + 15n = -4 Add '49' to each side of the equation. -49 + 49 + 15n = -4 + 49 Combine like terms: -49 + 49 = 0 0 + 15n = -4 + 49 15n = -4 + 49 Combine like terms: -4 + 49 = 45 15n = 45 Divide each side by '15'. n = 3 Simplifying n = 3
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