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Simplifying 8n + -2 = 33 + n Reorder the terms: -2 + 8n = 33 + n Solving -2 + 8n = 33 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -2 + 8n + -1n = 33 + n + -1n Combine like terms: 8n + -1n = 7n -2 + 7n = 33 + n + -1n Combine like terms: n + -1n = 0 -2 + 7n = 33 + 0 -2 + 7n = 33 Add '2' to each side of the equation. -2 + 2 + 7n = 33 + 2 Combine like terms: -2 + 2 = 0 0 + 7n = 33 + 2 7n = 33 + 2 Combine like terms: 33 + 2 = 35 7n = 35 Divide each side by '7'. n = 5 Simplifying n = 5
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