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Simplifying 12 + 8n = -7(n + -6) Reorder the terms: 12 + 8n = -7(-6 + n) 12 + 8n = (-6 * -7 + n * -7) 12 + 8n = (42 + -7n) Solving 12 + 8n = 42 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 12 + 8n + 7n = 42 + -7n + 7n Combine like terms: 8n + 7n = 15n 12 + 15n = 42 + -7n + 7n Combine like terms: -7n + 7n = 0 12 + 15n = 42 + 0 12 + 15n = 42 Add '-12' to each side of the equation. 12 + -12 + 15n = 42 + -12 Combine like terms: 12 + -12 = 0 0 + 15n = 42 + -12 15n = 42 + -12 Combine like terms: 42 + -12 = 30 15n = 30 Divide each side by '15'. n = 2 Simplifying n = 2
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