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Simplifying 8n + -12 = 5n + -6(7n + 2) Reorder the terms: -12 + 8n = 5n + -6(7n + 2) Reorder the terms: -12 + 8n = 5n + -6(2 + 7n) -12 + 8n = 5n + (2 * -6 + 7n * -6) -12 + 8n = 5n + (-12 + -42n) Reorder the terms: -12 + 8n = -12 + 5n + -42n Combine like terms: 5n + -42n = -37n -12 + 8n = -12 + -37n Add '12' to each side of the equation. -12 + 12 + 8n = -12 + 12 + -37n Combine like terms: -12 + 12 = 0 0 + 8n = -12 + 12 + -37n 8n = -12 + 12 + -37n Combine like terms: -12 + 12 = 0 8n = 0 + -37n 8n = -37n Solving 8n = -37n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '37n' to each side of the equation. 8n + 37n = -37n + 37n Combine like terms: 8n + 37n = 45n 45n = -37n + 37n Combine like terms: -37n + 37n = 0 45n = 0 Divide each side by '45'. n = 0 Simplifying n = 0
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