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Simplifying -12 + n = 4 + -8(n + -7) Reorder the terms: -12 + n = 4 + -8(-7 + n) -12 + n = 4 + (-7 * -8 + n * -8) -12 + n = 4 + (56 + -8n) Combine like terms: 4 + 56 = 60 -12 + n = 60 + -8n Solving -12 + n = 60 + -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. -12 + n + 8n = 60 + -8n + 8n Combine like terms: n + 8n = 9n -12 + 9n = 60 + -8n + 8n Combine like terms: -8n + 8n = 0 -12 + 9n = 60 + 0 -12 + 9n = 60 Add '12' to each side of the equation. -12 + 12 + 9n = 60 + 12 Combine like terms: -12 + 12 = 0 0 + 9n = 60 + 12 9n = 60 + 12 Combine like terms: 60 + 12 = 72 9n = 72 Divide each side by '9'. n = 8 Simplifying n = 8
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