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Simplifying -12 + -1n = -8(n + -6) + -4 Reorder the terms: -12 + -1n = -8(-6 + n) + -4 -12 + -1n = (-6 * -8 + n * -8) + -4 -12 + -1n = (48 + -8n) + -4 Reorder the terms: -12 + -1n = 48 + -4 + -8n Combine like terms: 48 + -4 = 44 -12 + -1n = 44 + -8n Solving -12 + -1n = 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. -12 + -1n + 8n = 44 + -8n + 8n Combine like terms: -1n + 8n = 7n -12 + 7n = 44 + -8n + 8n Combine like terms: -8n + 8n = 0 -12 + 7n = 44 + 0 -12 + 7n = 44 Add '12' to each side of the equation. -12 + 12 + 7n = 44 + 12 Combine like terms: -12 + 12 = 0 0 + 7n = 44 + 12 7n = 44 + 12 Combine like terms: 44 + 12 = 56 7n = 56 Divide each side by '7'. n = 8 Simplifying n = 8
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