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Simplifying 8n + -10 = -5(2 + 7n) + 6n Reorder the terms: -10 + 8n = -5(2 + 7n) + 6n -10 + 8n = (2 * -5 + 7n * -5) + 6n -10 + 8n = (-10 + -35n) + 6n Combine like terms: -35n + 6n = -29n -10 + 8n = -10 + -29n Add '10' to each side of the equation. -10 + 10 + 8n = -10 + 10 + -29n Combine like terms: -10 + 10 = 0 0 + 8n = -10 + 10 + -29n 8n = -10 + 10 + -29n Combine like terms: -10 + 10 = 0 8n = 0 + -29n 8n = -29n Solving 8n = -29n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '29n' to each side of the equation. 8n + 29n = -29n + 29n Combine like terms: 8n + 29n = 37n 37n = -29n + 29n Combine like terms: -29n + 29n = 0 37n = 0 Divide each side by '37'. n = 0 Simplifying n = 0
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