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Simplifying 200 = n + 6(8 + 3n) 200 = n + (8 * 6 + 3n * 6) 200 = n + (48 + 18n) Reorder the terms: 200 = 48 + n + 18n Combine like terms: n + 18n = 19n 200 = 48 + 19n Solving 200 = 48 + 19n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-19n' to each side of the equation. 200 + -19n = 48 + 19n + -19n Combine like terms: 19n + -19n = 0 200 + -19n = 48 + 0 200 + -19n = 48 Add '-200' to each side of the equation. 200 + -200 + -19n = 48 + -200 Combine like terms: 200 + -200 = 0 0 + -19n = 48 + -200 -19n = 48 + -200 Combine like terms: 48 + -200 = -152 -19n = -152 Divide each side by '-19'. n = 8 Simplifying n = 8
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