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Simplifying -200 = 3(7n + 1) + 8n Reorder the terms: -200 = 3(1 + 7n) + 8n -200 = (1 * 3 + 7n * 3) + 8n -200 = (3 + 21n) + 8n Combine like terms: 21n + 8n = 29n -200 = 3 + 29n Solving -200 = 3 + 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. -200 + -29n = 3 + 29n + -29n Combine like terms: 29n + -29n = 0 -200 + -29n = 3 + 0 -200 + -29n = 3 Add '200' to each side of the equation. -200 + 200 + -29n = 3 + 200 Combine like terms: -200 + 200 = 0 0 + -29n = 3 + 200 -29n = 3 + 200 Combine like terms: 3 + 200 = 203 -29n = 203 Divide each side by '-29'. n = -7 Simplifying n = -7
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