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Simplifying 8(n + -7) + 7 = 23 + -4n Reorder the terms: 8(-7 + n) + 7 = 23 + -4n (-7 * 8 + n * 8) + 7 = 23 + -4n (-56 + 8n) + 7 = 23 + -4n Reorder the terms: -56 + 7 + 8n = 23 + -4n Combine like terms: -56 + 7 = -49 -49 + 8n = 23 + -4n Solving -49 + 8n = 23 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -49 + 8n + 4n = 23 + -4n + 4n Combine like terms: 8n + 4n = 12n -49 + 12n = 23 + -4n + 4n Combine like terms: -4n + 4n = 0 -49 + 12n = 23 + 0 -49 + 12n = 23 Add '49' to each side of the equation. -49 + 49 + 12n = 23 + 49 Combine like terms: -49 + 49 = 0 0 + 12n = 23 + 49 12n = 23 + 49 Combine like terms: 23 + 49 = 72 12n = 72 Divide each side by '12'. n = 6 Simplifying n = 6
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